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HCF of 24×34×53×72 2^4 × 3^4 × 5^3 × 7^224×34×53×72and 22×36×552^2 × 3^6 × 5^5 22×36×55is:

Question

HCF of $2^4 × 3^4 × 5^3 × 7^2$ and $2^2 × 3^6 × 5^5$ is:

$2^2 × 3^2 × 5^3 × 7^2$

$2^3 × 3^5 × 5^4 × 7$

$2^6 × 3^1 × 5^8 × 7^2$

$2^2 × 3^4 × 5^3$

Solution

Correct option is D

Concept Used:

Hcf is the common term of multiple of numbers.

Solution:

Ist number = $2^4 \times 3^4 \times 5^3 \times 7^2$

Second number = $2^2 \times 3^6 \times 5^5$

HCF of these two terms = $2^2 \times 3^4 \times 5^3$

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HCF of $2^4 × 3^4 × 5^3 × 7^2$ and $2^2 × 3^6 × 5^5$ is:

$2^2 × 3^2 × 5^3 × 7^2$

$2^3 × 3^5 × 5^4 × 7$

$2^6 × 3^1 × 5^8 × 7^2$

$2^2 × 3^4 × 5^3$

Correct option is D

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HCF of 24×34×53×72 2^4 × 3^4 × 5^3 × 7^224×34×53×72​and 22×36×552^2 × 3^6 × 5^5 22×36×55​is:

​22×32×53×722^2 × 3^2 × 5^3 × 7^222×32×53×72​​

​23×35×54×72^3 × 3^5 × 5^4 × 723×35×54×7​​

​26×31×58×722^6 × 3^1 × 5^8 × 7^226×31×58×72​​

​22×34×532^2 × 3^4 × 5^322×34×53​​

Correct option is D

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HCF of $2^4 × 3^4 × 5^3 × 7^2$ and $2^2 × 3^6 × 5^5$ is:

$2^2 × 3^2 × 5^3 × 7^2$

$2^3 × 3^5 × 5^4 × 7$

$2^6 × 3^1 × 5^8 × 7^2$

$2^2 × 3^4 × 5^3$