Greatest Common Factor of 4210/960, 7933/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4210/960, 7933/976

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 4210/960,7933/976

Given fractions are 4210/960,7933/976

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 4210,7933

Greatest Common Factor of Numerators i.e. GCF of 4210,7933 is 1 .

LCM of Denominators means LCM of 960,976 as per the given fractions.

LCM of 960,976 is 58560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4210,7933

GCF of Fractions 4210/960,7933/976 is 1/58560

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

Greatest Common Factor of 4210,7933 By Matching Biggest Common Factor Method

Greatest Common Factor of 4210,7933 By Matching Biggest Common Factor Method

Factors of 4210

List of positive integer factors of 4210 that divides 4210 without a remainder.

1,2,5,10,421,842,2105,4210

Factors of 7933

List of positive integer factors of 7933 that divides 7933 without a remainder.

1,7933

Greatest Common Factor

We found the factors 4210,7933 . The biggest common factor number is the GCF number.
So the greatest common factor 4210,7933 is 1.

Lets's calculate LCM of 960,976

2 960, 976
2 480, 488
2 240, 244
2 120, 122
60, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 60 x 61 = 58560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58560

Therefore, the GCF of Fractions 4210/960,7933/976 is 1/58560

Least Common Multiple of 960,976 with GCF Formula

Least Common Multiple of 960,976 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 960,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,976) = 16

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

GCF(960,976) x common factors =16 x 1 = 16

LCM(960,976) = ( 960 × 976 ) / 16

LCM(960,976) = 936960 / 16

LCM(960,976) = 58560


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 4210/960, 7933/976

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 4210/960, 7933/976?

Answer: GCF of Numerators as per given numbers 4210/960, 7933/976 is

GCF of Numerators i.e. for 4210,7933 is 1

LCM of denominators i.e. for 960,976 is 58560.

Thus, GCF of Fractions is 1/58560.Finally, GCF of Fractions for 4210/960, 7933/976 is 1/58560.