Greatest Common Factor of 3120/655, 5694/1051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3120/655, 5694/1051

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 3120/655,5694/1051

Given fractions are 3120/655,5694/1051

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 3120,5694

Greatest Common Factor of Numerators i.e. GCF of 3120,5694 is 78 .

LCM of Denominators means LCM of 655,1051 as per the given fractions.

LCM of 655,1051 is 688405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3120,5694

GCF of Fractions 3120/655,5694/1051 is 78/688405

2 3120, 5694
3 1560, 2847
13 520, 949
40, 73

∴ So the GCF of the given numbers is 2 x 3 x 13 = 78

Greatest Common Factor of 3120,5694 By Matching Biggest Common Factor Method

Greatest Common Factor of 3120,5694 By Matching Biggest Common Factor Method

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

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

Factors of 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694

Greatest Common Factor

We found the factors 3120,5694 . The biggest common factor number is the GCF number.
So the greatest common factor 3120,5694 is 78.

Lets's calculate LCM of 655,1051

Given numbers has no common factors except 1. So, there LCM is their product i.e 688405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/688405

Therefore, the GCF of Fractions 3120/655,5694/1051 is 78/688405

Least Common Multiple of 655,1051 with GCF Formula

Least Common Multiple of 655,1051 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 655,1051 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,1051) = 1

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

GCF(655,1051) x common factors =1 x 1 = 1

LCM(655,1051) = ( 655 × 1051 ) / 1

LCM(655,1051) = 688405 / 1

LCM(655,1051) = 688405


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 3120/655, 5694/1051

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 3120/655, 5694/1051?

Answer: GCF of Numerators as per given numbers 3120/655, 5694/1051 is

GCF of Numerators i.e. for 3120,5694 is 78

LCM of denominators i.e. for 655,1051 is 688405.

Thus, GCF of Fractions is 78/688405.Finally, GCF of Fractions for 3120/655, 5694/1051 is 78/688405.