Question Detail

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

Answer: Option B

Explanation:

Answer will be HCF of (400-9, 435-10, 541-14)

HCF of (391, 425, 527) = 17

1. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

$\begin{aligned} \frac{2}{27} \end{aligned}$
$\begin{aligned} \frac{8}{3} \end{aligned}$
$\begin{aligned} \frac{2}{3} \end{aligned}$
$\begin{aligned} \frac{8}{27} \end{aligned}$

Answer: Option A

Explanation:

Whenever we have to solve this sort of question, remember the formula.
HCF =

$\begin{aligned} \frac{HCF of Numerators}{LCM of Denominators} \end{aligned}$
So answers will be option 1

2. What will be the LCM of 8, 24, 36 and 54

Answer: Option C

Explanation:

LCM of 8-24-36-54 will be
2*2*2*3*3*3 = 216

3. Reduce $\begin{aligned} \frac{368}{575} \end{aligned}$ to the lowest terms.

$\begin{aligned} \frac{30}{25} \end{aligned}$
$\begin{aligned} \frac{28}{29} \end{aligned}$
$\begin{aligned} \frac{28}{29} \end{aligned}$
$\begin{aligned} \frac{16}{25} \end{aligned}$

Answer: Option D

Explanation:

We can do it easily by in two steps
Step1: We get the HCF of 368 and 575 which is 23
Step2: Divide both by 23, we will get the answer 16/25

4. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

Answer: Option B

Explanation:

Answer will be HCF of (400-9, 435-10, 541-14)

HCF of (391, 425, 527) = 17

5. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

Answer: Option B

Explanation:

In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (1661 - 10) and (2045 -13)
= HCF (1651, 2032) = 127

Question Detail

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

1. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

2. What will be the LCM of 8, 24, 36 and 54

3. Reduce $\begin{aligned} \frac{368}{575} \end{aligned}$ to the lowest terms.

4. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

5. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

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Question Detail

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

1. Find the HCF of 23,46,827\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}

2. What will be the LCM of 8, 24, 36 and 54

3. Reduce 368575\begin{aligned} \frac{368}{575} \end{aligned} to the lowest terms.

4. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

5. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

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1. Find the HCF of $\begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}$

3. Reduce $\begin{aligned} \frac{368}{575} \end{aligned}$ to the lowest terms.