Question

Hcf and lcm 112 and 46 using prime factorisation

Answer 1

HCF of 112 and 46 = 2

Explanation:

HCF/GCD/GCF all mean the same. They are the highest common factor of two or more numbers.

Step 1: First you extract all the 'Prime' factors of each number.

The ladders on the image show that you are dividing each number with the smallest prime number. You keep doing it till you reach 1 .

Step 2: Then you write the factors of each.

Step 3: You choose the common factors.

Step 4: Multiply the common factors (if any) and then you have your answer.

Answer 2

HCF: 2

LCM: 2576

Explanation:

Prime factorizations:

112 = 2×2×2×2×7

46 = 2×23

HCF: 2 (only common factor)

LCM: 2×2×2×2×7×23 = 2576