A. Find the HCF by finding all the factors.
1.15, 30
2. 24, 32, 56
3. 27, 54
4.20, 50, 90
5. 36, 48, 96
6. 45, 65, 75
Answers
Step-by-step explanation:
1) The factors and prime factorization of 15 and 30. The biggest common factor number is the GCF number. So the greatest common factor 15 and 30 is 15.
2) the factors and prime factorization of 24 and 56. The biggest common factor number is the GCF number. So the greatest common factor 24 and 56 is 8.
3)The factors of 54 are 54, 27, 18, 9, 6, 3, 2, 1. The common factors of 27 and 54 are 27, 9, 3, 1, intersecting the two sets above. In the intersection factors of 27 ∩ factors of 54 the greatest element is 27. Therefore, the greatest common factor of 27 and 54 is 27.
4)the factors and prime factorization of 20 and 50. The biggest common factor number is the GCF number. So the greatest common factor 20 and 50 is 10.
4)The common factors of 50 and 90 are 10, 5, 2, 1, intersecting the two sets above. In the intersection factors of 50 ∩ factors of 90 the greatest element is 10. Therefore, the greatest common factor of 50 and 90 is 10.
5) HCF of 36, 48, 96 is 12 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example. Highest common factor (HCF) of 36, 48, 96 is 12.
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