Greatest Common Factor of 6100/351, 6240/9348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6100/351, 6240/9348

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 6100/351,6240/9348

Given fractions are 6100/351,6240/9348

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 6100,6240

Greatest Common Factor of Numerators i.e. GCF of 6100,6240 is 20 .

LCM of Denominators means LCM of 351,9348 as per the given fractions.

LCM of 351,9348 is 1093716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6100,6240

GCF of Fractions 6100/351,6240/9348 is 20/1093716

2 6100, 6240
2 3050, 3120
5 1525, 1560
305, 312

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 6100,6240 By Matching Biggest Common Factor Method

Greatest Common Factor of 6100,6240 By Matching Biggest Common Factor Method

Factors of 6100

List of positive integer factors of 6100 that divides 6100 without a remainder.

1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100

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 6100,6240 . The biggest common factor number is the GCF number.
So the greatest common factor 6100,6240 is 20.

Lets's calculate LCM of 351,9348

3 351, 9348
117, 3116

∴ So the LCM of the given numbers is 3 x 117 x 3116 = 1093716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1093716

Therefore, the GCF of Fractions 6100/351,6240/9348 is 20/1093716

Least Common Multiple of 351,9348 with GCF Formula

Least Common Multiple of 351,9348 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 351,9348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,9348) = 3

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

GCF(351,9348) x common factors =3 x 1 = 3

LCM(351,9348) = ( 351 × 9348 ) / 3

LCM(351,9348) = 3281148 / 3

LCM(351,9348) = 1093716


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 6100/351, 6240/9348

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 6100/351, 6240/9348?

Answer: GCF of Numerators as per given numbers 6100/351, 6240/9348 is

GCF of Numerators i.e. for 6100,6240 is 20

LCM of denominators i.e. for 351,9348 is 1093716.

Thus, GCF of Fractions is 20/1093716.Finally, GCF of Fractions for 6100/351, 6240/9348 is 20/1093716.