Greatest Common Factor of 1398/960, 9677/4970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1398/960, 9677/4970

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 1398/960,9677/4970

Given fractions are 1398/960,9677/4970

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 1398,9677

Greatest Common Factor of Numerators i.e. GCF of 1398,9677 is 1 .

LCM of Denominators means LCM of 960,4970 as per the given fractions.

LCM of 960,4970 is 477120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1398,9677

GCF of Fractions 1398/960,9677/4970 is 1/477120

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

Greatest Common Factor of 1398,9677 By Matching Biggest Common Factor Method

Greatest Common Factor of 1398,9677 By Matching Biggest Common Factor Method

Factors of 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1,2,3,6,233,466,699,1398

Factors of 9677

List of positive integer factors of 9677 that divides 9677 without a remainder.

1,9677

Greatest Common Factor

We found the factors 1398,9677 . The biggest common factor number is the GCF number.
So the greatest common factor 1398,9677 is 1.

Lets's calculate LCM of 960,4970

2 960, 4970
5 480, 2485
96, 497

∴ So the LCM of the given numbers is 2 x 5 x 96 x 497 = 477120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477120

Therefore, the GCF of Fractions 1398/960,9677/4970 is 1/477120

Least Common Multiple of 960,4970 with GCF Formula

Least Common Multiple of 960,4970 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 960,4970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,4970) = 10

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

GCF(960,4970) x common factors =10 x 1 = 10

LCM(960,4970) = ( 960 × 4970 ) / 10

LCM(960,4970) = 4771200 / 10

LCM(960,4970) = 477120


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 1398/960, 9677/4970

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 1398/960, 9677/4970?

Answer: GCF of Numerators as per given numbers 1398/960, 9677/4970 is

GCF of Numerators i.e. for 1398,9677 is 1

LCM of denominators i.e. for 960,4970 is 477120.

Thus, GCF of Fractions is 1/477120.Finally, GCF of Fractions for 1398/960, 9677/4970 is 1/477120.