1. Find the HCF.
(i) 25, 40
(v) 18, 32, 48
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Answers
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1)Prime Factorization of 25
Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:
25 = 52
Prime Factorization of 40
Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:
40 = 23 × 51
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1, 5
Factors of 40
List of positive integer factors of 40 that divides 25 without a remainder.
1, 2, 4, 5, 8, 10, 20
Greatest Common Factor
We found the factors and prime factorization of 25 and 40. The biggest common factor number is the GCF number.
So the greatest common factor 25 and 40 is 5.
2)Prime Factorization of 18
Prime factors of 18 are 2, 3. Prime factorization of 18 in exponential form is:
18 = 21 × 32
Prime Factorization of 48
Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:
48 = 24 × 31
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9
Factors of 48
List of positive integer factors of 48 that divides 18 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24
Greatest Common Factor
We found the factors and prime factorization of 18 and 48. The biggest common factor number is the GCF number.
So the greatest common factor 18 and 48 is 6.
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In short the answer is:-
1) The hcf of 25 and 40 is 5
2)The hcf of 18, 32 and 48 is 6
Answered by
2
Answer:-
the hcf of 25 and 40 is 5
the hcf of 18,32 and 48 is 6
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