Greatest Common Factor of 8476/153, 6240/2846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8476/153, 6240/2846

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 8476/153,6240/2846

Given fractions are 8476/153,6240/2846

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 8476,6240

Greatest Common Factor of Numerators i.e. GCF of 8476,6240 is 52 .

LCM of Denominators means LCM of 153,2846 as per the given fractions.

LCM of 153,2846 is 435438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8476,6240

GCF of Fractions 8476/153,6240/2846 is 52/435438

2 8476, 6240
2 4238, 3120
13 2119, 1560
163, 120

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 8476,6240 By Matching Biggest Common Factor Method

Greatest Common Factor of 8476,6240 By Matching Biggest Common Factor Method

Factors of 8476

List of positive integer factors of 8476 that divides 8476 without a remainder.

1,2,4,13,26,52,163,326,652,2119,4238,8476

Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240

Greatest Common Factor

We found the factors 8476,6240 . The biggest common factor number is the GCF number.
So the greatest common factor 8476,6240 is 52.

Lets's calculate LCM of 153,2846

Given numbers has no common factors except 1. So, there LCM is their product i.e 435438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/435438

Therefore, the GCF of Fractions 8476/153,6240/2846 is 52/435438

Least Common Multiple of 153,2846 with GCF Formula

Least Common Multiple of 153,2846 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 153,2846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,2846) = 1

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

GCF(153,2846) x common factors =1 x 1 = 1

LCM(153,2846) = ( 153 × 2846 ) / 1

LCM(153,2846) = 435438 / 1

LCM(153,2846) = 435438


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 8476/153, 6240/2846

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 8476/153, 6240/2846?

Answer: GCF of Numerators as per given numbers 8476/153, 6240/2846 is

GCF of Numerators i.e. for 8476,6240 is 52

LCM of denominators i.e. for 153,2846 is 435438.

Thus, GCF of Fractions is 52/435438.Finally, GCF of Fractions for 8476/153, 6240/2846 is 52/435438.