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Sagot :
Answer:
The corresponding divisor (12) is the GCF of 36 and 84.
2nd answer
LCM = 252
Step-by-step 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:
HCF = 12
LCM = 252
Step-by-step 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
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