Greatest Common Factor of 6104/48, 2100/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6104/48, 2100/749

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 6104/48,2100/749

Given fractions are 6104/48,2100/749

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 6104,2100

Greatest Common Factor of Numerators i.e. GCF of 6104,2100 is 28 .

LCM of Denominators means LCM of 48,749 as per the given fractions.

LCM of 48,749 is 35952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6104,2100

GCF of Fractions 6104/48,2100/749 is 28/35952

2 6104, 2100
2 3052, 1050
7 1526, 525
218, 75

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 6104,2100 By Matching Biggest Common Factor Method

Greatest Common Factor of 6104,2100 By Matching Biggest Common Factor Method

Factors of 6104

List of positive integer factors of 6104 that divides 6104 without a remainder.

1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Greatest Common Factor

We found the factors 6104,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 6104,2100 is 28.

Lets's calculate LCM of 48,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 35952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/35952

Therefore, the GCF of Fractions 6104/48,2100/749 is 28/35952

Least Common Multiple of 48,749 with GCF Formula

Least Common Multiple of 48,749 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 48,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,749) = 1

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

GCF(48,749) x common factors =1 x 1 = 1

LCM(48,749) = ( 48 × 749 ) / 1

LCM(48,749) = 35952 / 1

LCM(48,749) = 35952


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 6104/48, 2100/749

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 6104/48, 2100/749?

Answer: GCF of Numerators as per given numbers 6104/48, 2100/749 is

GCF of Numerators i.e. for 6104,2100 is 28

LCM of denominators i.e. for 48,749 is 35952.

Thus, GCF of Fractions is 28/35952.Finally, GCF of Fractions for 6104/48, 2100/749 is 28/35952.