Greatest Common Factor of 9667/776, 5106/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9667/776, 5106/874

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 9667/776,5106/874

Given fractions are 9667/776,5106/874

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 9667,5106

Greatest Common Factor of Numerators i.e. GCF of 9667,5106 is 1 .

LCM of Denominators means LCM of 776,874 as per the given fractions.

LCM of 776,874 is 339112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9667,5106

GCF of Fractions 9667/776,5106/874 is 1/339112

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

Greatest Common Factor of 9667,5106 By Matching Biggest Common Factor Method

Greatest Common Factor of 9667,5106 By Matching Biggest Common Factor Method

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1,7,1381,9667

Factors of 5106

List of positive integer factors of 5106 that divides 5106 without a remainder.

1,2,3,6,23,37,46,69,74,111,138,222,851,1702,2553,5106

Greatest Common Factor

We found the factors 9667,5106 . The biggest common factor number is the GCF number.
So the greatest common factor 9667,5106 is 1.

Lets's calculate LCM of 776,874

2 776, 874
388, 437

∴ So the LCM of the given numbers is 2 x 388 x 437 = 339112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339112

Therefore, the GCF of Fractions 9667/776,5106/874 is 1/339112

Least Common Multiple of 776,874 with GCF Formula

Least Common Multiple of 776,874 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 776,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,874) = 2

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

GCF(776,874) x common factors =2 x 1 = 2

LCM(776,874) = ( 776 × 874 ) / 2

LCM(776,874) = 678224 / 2

LCM(776,874) = 339112


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 9667/776, 5106/874

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 9667/776, 5106/874?

Answer: GCF of Numerators as per given numbers 9667/776, 5106/874 is

GCF of Numerators i.e. for 9667,5106 is 1

LCM of denominators i.e. for 776,874 is 339112.

Thus, GCF of Fractions is 1/339112.Finally, GCF of Fractions for 9667/776, 5106/874 is 1/339112.