What is the greatest common factor of 42, 63, and

Crystal Wheeler

Crystal Wheeler

Answered question

2022-07-08

What is the greatest common factor of 42, 63, and 105?

Answer & Explanation

Jamiya Costa

Jamiya Costa

Beginner2022-07-09Added 18 answers

Step 1
Writing each number as the product of its ' factors is a quick way of finding the HCF and LCM of any number of values.
42 2 × 3 × 7 63 = 3 × 3 × 7 105 = 3 × 7 × 5 _ H C F = 3 × 7 = 21
42, 63 and 105 all have the factors 3 and 7 is common.
Therefore the H C F = 21
uplakanimkk

uplakanimkk

Beginner2022-07-10Added 6 answers

Step 1
That is the largest number that will divide into all those given.
To find it, the smallest ' numbers should be divided into each one. Prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19.
Looking at 42, 63, 105, we can see that the first is divisible by 2, the second by 3 and the third by 5:
42 2 = 21
and 63 3 = 21
and
105 5 = 21
Each division results in the same number, so that is the GCF.

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