Greatest Common Factor of 874/414, 616/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 874/414, 616/638

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 874/414,616/638

Given fractions are 874/414,616/638

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 874,616

Greatest Common Factor of Numerators i.e. GCF of 874,616 is 2 .

LCM of Denominators means LCM of 414,638 as per the given fractions.

LCM of 414,638 is 132066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 874,616

GCF of Fractions 874/414,616/638 is 2/132066

2 874, 616
437, 308

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 874,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,616 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 874,616 . The biggest common factor number is the GCF number.
So the greatest common factor 874,616 is 2.

Lets's calculate LCM of 414,638

2 414, 638
207, 319

∴ So the LCM of the given numbers is 2 x 207 x 319 = 132066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132066

Therefore, the GCF of Fractions 874/414,616/638 is 2/132066

Least Common Multiple of 414,638 with GCF Formula

Least Common Multiple of 414,638 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 414,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,638) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(414,638) x common factors =2 x 1 = 2

LCM(414,638) = ( 414 × 638 ) / 2

LCM(414,638) = 264132 / 2

LCM(414,638) = 132066


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 874/414, 616/638

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 874/414, 616/638?

Answer: GCF of Numerators as per given numbers 874/414, 616/638 is

GCF of Numerators i.e. for 874,616 is 2

LCM of denominators i.e. for 414,638 is 132066.

Thus, GCF of Fractions is 2/132066.Finally, GCF of Fractions for 874/414, 616/638 is 2/132066.