Greatest Common Factor of 4261/616, 3955/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4261/616, 3955/763

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 4261/616,3955/763

Given fractions are 4261/616,3955/763

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 4261,3955

Greatest Common Factor of Numerators i.e. GCF of 4261,3955 is 1 .

LCM of Denominators means LCM of 616,763 as per the given fractions.

LCM of 616,763 is 67144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4261,3955

GCF of Fractions 4261/616,3955/763 is 1/67144

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4261,3955 By Matching Biggest Common Factor Method

Greatest Common Factor of 4261,3955 By Matching Biggest Common Factor Method

Factors of 4261

List of positive integer factors of 4261 that divides 4261 without a remainder.

1,4261

Factors of 3955

List of positive integer factors of 3955 that divides 3955 without a remainder.

1,5,7,35,113,565,791,3955

Greatest Common Factor

We found the factors 4261,3955 . The biggest common factor number is the GCF number.
So the greatest common factor 4261,3955 is 1.

Lets's calculate LCM of 616,763

7 616, 763
88, 109

∴ So the LCM of the given numbers is 7 x 88 x 109 = 67144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67144

Therefore, the GCF of Fractions 4261/616,3955/763 is 1/67144

Least Common Multiple of 616,763 with GCF Formula

Least Common Multiple of 616,763 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 616,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,763) = 7

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

GCF(616,763) x common factors =7 x 1 = 7

LCM(616,763) = ( 616 × 763 ) / 7

LCM(616,763) = 470008 / 7

LCM(616,763) = 67144


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 4261/616, 3955/763

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 4261/616, 3955/763?

Answer: GCF of Numerators as per given numbers 4261/616, 3955/763 is

GCF of Numerators i.e. for 4261,3955 is 1

LCM of denominators i.e. for 616,763 is 67144.

Thus, GCF of Fractions is 1/67144.Finally, GCF of Fractions for 4261/616, 3955/763 is 1/67144.