Highest Common Factor (HCF)

Find the HCF using the long division method.

$225, 300$

What is the maximum number of Fridays that can occur in the first $50$ days of a year?

A community hall is $16 \mathrm{m} 50 c\mathrm{m}$ long and $15 \mathrm{m} 25 \mathrm{cm}$ wide. It is to be paved by square marble stone tiles of the same size. Find the largest size of the tile that can be used and the least number of such tiles required.

Which longest tape can be used to measure the length $11 \mathrm{m} 52 \mathrm{cm}$ and $16 \mathrm{m} 64 \mathrm{cm}$ exactly?

Find the greatest number which divides $126, 150,$ and $210$ giving a remainder of $6$ in each case.

The HCF of $244$ and $180$ is:

The HCF of $3^2\times 4\times 5^2$, $3\times 4^2\times 5$ is

The HCF of $45$ and $72$ is

Find the greatest number which divides $141, 150$ and $278$ leaving remainder $7, 5$ and $6$, respectively.

Find the greatest number which divides $74, 112$ and $152$ leaving remainder $2, 4$ and $6$, respectively.

Find the greatest number which divides $843$ and $949$ leaving remainders $3$ and $9$, respectively.

Find the greatest number which divides $149$ and $325$ leaving remainder $5$ in each case.

Find the HCF using the long division method.

$63, 90$

Find the HCF using the long division method.

$546, 940$

Find the HCF using the long division method.

$38, 194$

Find the HCF of the following numbers by listing the factors.

$6, 18, 32$

Find the HCF of the following numbers by listing the factors.

$9, 27, 35$

Find the HCF of the following numbers by listing the factors.

$12, 16$

Find the HCF of the following numbers by listing the factors.

$27, 81$

Find the HCF of the following numbers using prime factorisation.

$54, 270$