Greatest Common Factor of 3752/504, 4112/2461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3752/504, 4112/2461

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 3752/504,4112/2461

Given fractions are 3752/504,4112/2461

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 3752,4112

Greatest Common Factor of Numerators i.e. GCF of 3752,4112 is 8 .

LCM of Denominators means LCM of 504,2461 as per the given fractions.

LCM of 504,2461 is 1240344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3752,4112

GCF of Fractions 3752/504,4112/2461 is 8/1240344

2 3752, 4112
2 1876, 2056
2 938, 1028
469, 514

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3752,4112 By Matching Biggest Common Factor Method

Greatest Common Factor of 3752,4112 By Matching Biggest Common Factor Method

Factors of 3752

List of positive integer factors of 3752 that divides 3752 without a remainder.

1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752

Factors of 4112

List of positive integer factors of 4112 that divides 4112 without a remainder.

1,2,4,8,16,257,514,1028,2056,4112

Greatest Common Factor

We found the factors 3752,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 3752,4112 is 8.

Lets's calculate LCM of 504,2461

Given numbers has no common factors except 1. So, there LCM is their product i.e 1240344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1240344

Therefore, the GCF of Fractions 3752/504,4112/2461 is 8/1240344

Least Common Multiple of 504,2461 with GCF Formula

Least Common Multiple of 504,2461 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 504,2461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,2461) = 1

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

GCF(504,2461) x common factors =1 x 1 = 1

LCM(504,2461) = ( 504 × 2461 ) / 1

LCM(504,2461) = 1240344 / 1

LCM(504,2461) = 1240344


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 3752/504, 4112/2461

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 3752/504, 4112/2461?

Answer: GCF of Numerators as per given numbers 3752/504, 4112/2461 is

GCF of Numerators i.e. for 3752,4112 is 8

LCM of denominators i.e. for 504,2461 is 1240344.

Thus, GCF of Fractions is 8/1240344.Finally, GCF of Fractions for 3752/504, 4112/2461 is 8/1240344.