Question

What is the highest common factors and lowest common multiple of 36 and 84 using prime factors​

Answer 1

The corresponding divisor (12) is the GCF of 36 and 84.

2nd answer

LCM = 252

Explanation:

Divide 84 (larger number) by 36 (smaller number). Since the remainder ≠ 0, we will divide the divisor of step 1 (36) by the remainder (12). Repeat this process until the remainder = 0. The corresponding divisor (12) is the GCF of 36 and 84.

2nd answer step

Find the prime factorization of 36 36 = 2 × 2 × 3 × 3 Find the prime factorization of 84 84 = 2 × 2 × 3 × 7 Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 3 × 3 × 7 LCM = 252

Answer 2

HCF = 12

LCM = 252

Explanation:

prime numbers: 2, 3, 5, 7, 11, 13, 17 etc.

Prime factorization of 36

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 3 = 3

⇒ 36 = 2 x 2 x 3 x 3 = 12 x 3

Prime factorization of 84

84 ÷ 2 = 42

42 ÷ 2 = 21

21 ÷ 3 = 7

⇒ 84 = 2 x 2 x 3 x 7 = 12 x 7

Therefore, highest common factor = 2 x 2 x 3 = 12

Multiples of 36 using prime numbers

36 x 2 = 72

36 x 3 = 108

36 x 5 = 180

36 x 7 = 252

Multiples of 84 using prime numbers

84 x 2 = 168

84 x 3 = 252

Therefore, lowest common multiple = 252