Question

find lcm and hcf of 441 and 84
​

Answer 1

Answer:

21

explanation:

Step 1: Since 441 > 84, we apply the division lemma to 441 and 84, to get

441 = 84 x 5 + 21

Step 2: Since the reminder 84 ≠ 0, we apply division lemma to 21 and 84, to get

84 = 21 x 4 + 0

Answer 2

Answer:

LCM-1764 HCF -21

Step-by-step explanation:

LCM:

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 441

441 = 3 × 3 × 7 × 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 × 7

LCM = 1764

Find the prime factorization of 84

Find the prime factorization of 8484 = 2 × 2 × 3 × 7

Find the prime factorization of 441

Find the prime factorization of 441441 = 3 × 3 × 7 × 7

HCF

To find the HCF, multiply all the prime factors common to both numbers:

CF, multiply all the prime factors common to both numbers:Therefore, HCF = 3 × 7

HCF = 21Find the prime factorization of 84

Find the prime factorization of 8484 = 2 × 2 × 3 × 7

Find the prime factorization of 8484 = 2 × 2 × 3 × 7Find the prime factorization of 441

Find the prime factorization of 8484 = 2 × 2 × 3 × 7Find the prime factorization of 441441 = 3 × 3 × 7 × 7

Find the prime factorization of 8484 = 2 × 2 × 3 × 7Find the prime factorization of 441441 = 3 × 3 × 7 × 7To find the GCF, multiply all the prime factors common to both numbers:

Find the prime factorization of 8484 = 2 × 2 × 3 × 7Find the prime factorization of 441441 = 3 × 3 × 7 × 7To find the GCF, multiply all the prime factors common to both numbers:Therefore, GCF = 3 × 7

GCF = 21