Greatest Common Factor of 976/414, 6884/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 976/414, 6884/153

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 976/414,6884/153

Given fractions are 976/414,6884/153

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 976,6884

Greatest Common Factor of Numerators i.e. GCF of 976,6884 is 4 .

LCM of Denominators means LCM of 414,153 as per the given fractions.

LCM of 414,153 is 7038 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 976,6884

GCF of Fractions 976/414,6884/153 is 4/7038

2 976, 6884
2 488, 3442
244, 1721

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 976,6884 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,6884 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1,2,4,1721,3442,6884

Greatest Common Factor

We found the factors 976,6884 . The biggest common factor number is the GCF number.
So the greatest common factor 976,6884 is 4.

Lets's calculate LCM of 414,153

3 414, 153
3 138, 51
46, 17

∴ So the LCM of the given numbers is 3 x 3 x 46 x 17 = 7038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7038

Therefore, the GCF of Fractions 976/414,6884/153 is 4/7038

Least Common Multiple of 414,153 with GCF Formula

Least Common Multiple of 414,153 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 414,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,153) = 9

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

GCF(414,153) x common factors =9 x 1 = 9

LCM(414,153) = ( 414 × 153 ) / 9

LCM(414,153) = 63342 / 9

LCM(414,153) = 7038


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 976/414, 6884/153

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 976/414, 6884/153?

Answer: GCF of Numerators as per given numbers 976/414, 6884/153 is

GCF of Numerators i.e. for 976,6884 is 4

LCM of denominators i.e. for 414,153 is 7038.

Thus, GCF of Fractions is 4/7038.Finally, GCF of Fractions for 976/414, 6884/153 is 4/7038.