Greatest Common Factor of 3120/66, 7080/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3120/66, 7080/944

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 3120/66,7080/944

Given fractions are 3120/66,7080/944

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 3120,7080

Greatest Common Factor of Numerators i.e. GCF of 3120,7080 is 120 .

LCM of Denominators means LCM of 66,944 as per the given fractions.

LCM of 66,944 is 31152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3120,7080

GCF of Fractions 3120/66,7080/944 is 120/31152

2 3120, 7080
2 1560, 3540
2 780, 1770
3 390, 885
5 130, 295
26, 59

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120

Greatest Common Factor of 3120,7080 By Matching Biggest Common Factor Method

Greatest Common Factor of 3120,7080 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 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Greatest Common Factor

We found the factors 3120,7080 . The biggest common factor number is the GCF number.
So the greatest common factor 3120,7080 is 120.

Lets's calculate LCM of 66,944

2 66, 944
33, 472

∴ So the LCM of the given numbers is 2 x 33 x 472 = 31152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 120/31152

Therefore, the GCF of Fractions 3120/66,7080/944 is 120/31152

Least Common Multiple of 66,944 with GCF Formula

Least Common Multiple of 66,944 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 66,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,944) = 2

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

GCF(66,944) x common factors =2 x 1 = 2

LCM(66,944) = ( 66 × 944 ) / 2

LCM(66,944) = 62304 / 2

LCM(66,944) = 31152


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 3120/66, 7080/944

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 3120/66, 7080/944?

Answer: GCF of Numerators as per given numbers 3120/66, 7080/944 is

GCF of Numerators i.e. for 3120,7080 is 120

LCM of denominators i.e. for 66,944 is 31152.

Thus, GCF of Fractions is 120/31152.Finally, GCF of Fractions for 3120/66, 7080/944 is 120/31152.