Question

State the H.C.F of 2³×5 ×11, 2²×3²×5² and 2×5²×3×11.

Answer 1

Answer:

HCF of two or more numbers is the product of the smallest power of each common prime factors involved in the numbers.

HCF(highest common factor) of two or more numbers is the largest number that divides all the given numbers exactly. It is also known as greatest common divisor (GCD).

SOLUTION

HCF of 3³ ×5 and 3²×5²

HCF= 3²× 5

HCF= 3×3×5

hcf= 9×5= 45

Answer 2

Answer:

HCF = 2 × 5 = 10

HCF(2³×5 ×11, 2²×3²×5² and 2×5²×3×11) = 2 × 5 = 10

Step-by-step explanation:

We know that lowest degree of common prime factors of the numbers is the HCF of the numbers.

And here common prome factors are 2 and 5 where there lowest degrees are 1.

Thus,

HCF = 2×5 = 10