The GCF is 7.
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The prime factorisation method:
14 = 2 × 7
21 = 3 × 7
hcf = 7 as it is the only common prime between the two factorisations.
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Euclid's method:
1) 14 ÷ 21 → remainder 14
2) first number becomes 21
3) second number becomes 14
4) 14 is not 0, so repeat form step 1
1) 21 ÷ 14 → remainder 7
2) first number becomes 14
3) second number becomes 7
4) 7 is not 0, so repeat form step 1
1) 14 ÷ 7 → remainder 0
2) first number becomes 7
3) second number becomes 0
4) 0 is 0, so continue to step 5
5) hcf is first number which is now 7
→ hcf(14, 21) = 7.
The least common multiple of 14 and 21 is 42.14, 28, 42, 56 ...21, 42, 63, 84, ...
The HCF of 14 and 24 is 2.
The GCF is 24.
The GCF is 14.
The GCF is 21.
The GCF is 7.
The HCF is 7.
7
To calculate the Highest Common Factor (HCF) of 28, 14, and 21, we first find the factors of each number: Factors of 28 are 1, 2, 4, 7, 14, and 28. Factors of 14 are 1, 2, 7, and 14. Factors of 21 are 1, 3, 7, and 21. The common factors among all three numbers are 1 and 7. Therefore, the HCF of 28, 14, and 21 is 7.
The least common multiple of 14 and 21 is 42.14, 28, 42, 56 ...21, 42, 63, 84, ...
The HCF of 14 and 24 is 2.
The GCF is 24.
The GCF is 7.
The GCF is 3.
2
HCF(98, 182) = 14.
HCF = 14