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Answer :
Final answer:
The Highest Common Factor (H.C.F) of the numbers 84, 56, 35 and 112 is found by determining the largest number that is a factor of all these numbers, which in this case is 7.
Explanation:
The question requires us to find the Highest Common Factor (H.C.F) of the numbers 84, 56, 35, and 112. The H.C.F (also known as the Greatest Common Divisor, GCD) is the largest number that can divide each of the numbers without a remainder.
You can find the H.C.F of these numbers by finding all the factors of each number and determine the largest number that is common to all. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
The factors of 35 are 1, 5, 7, 35. The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
From this list, we can see that the largest number that all these numbers have in common is 7, so the H.C.F of 84, 56, 35, and 112 is 7.
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