Greatest Common Factor of 616/135, 175/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 616/135, 175/643

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 616/135,175/643

Given fractions are 616/135,175/643

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 616,175

Greatest Common Factor of Numerators i.e. GCF of 616,175 is 7 .

LCM of Denominators means LCM of 135,643 as per the given fractions.

LCM of 135,643 is 86805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 616,175

GCF of Fractions 616/135,175/643 is 7/86805

7 616, 175
88, 25

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 616,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,175 By Matching Biggest Common Factor Method

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

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 616,175 . The biggest common factor number is the GCF number.
So the greatest common factor 616,175 is 7.

Lets's calculate LCM of 135,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 86805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/86805

Therefore, the GCF of Fractions 616/135,175/643 is 7/86805

Least Common Multiple of 135,643 with GCF Formula

Least Common Multiple of 135,643 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 135,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,643) = 1

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

GCF(135,643) x common factors =1 x 1 = 1

LCM(135,643) = ( 135 × 643 ) / 1

LCM(135,643) = 86805 / 1

LCM(135,643) = 86805


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 616/135, 175/643

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 616/135, 175/643?

Answer: GCF of Numerators as per given numbers 616/135, 175/643 is

GCF of Numerators i.e. for 616,175 is 7

LCM of denominators i.e. for 135,643 is 86805.

Thus, GCF of Fractions is 7/86805.Finally, GCF of Fractions for 616/135, 175/643 is 7/86805.