Greatest Common Factor of 3772/375, 7584/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3772/375, 7584/791

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 3772/375,7584/791

Given fractions are 3772/375,7584/791

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 3772,7584

Greatest Common Factor of Numerators i.e. GCF of 3772,7584 is 4 .

LCM of Denominators means LCM of 375,791 as per the given fractions.

LCM of 375,791 is 296625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3772,7584

GCF of Fractions 3772/375,7584/791 is 4/296625

2 3772, 7584
2 1886, 3792
943, 1896

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3772,7584 By Matching Biggest Common Factor Method

Greatest Common Factor of 3772,7584 By Matching Biggest Common Factor Method

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1,2,4,23,41,46,82,92,164,943,1886,3772

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Greatest Common Factor

We found the factors 3772,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 3772,7584 is 4.

Lets's calculate LCM of 375,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 296625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/296625

Therefore, the GCF of Fractions 3772/375,7584/791 is 4/296625

Least Common Multiple of 375,791 with GCF Formula

Least Common Multiple of 375,791 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 375,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,791) = 1

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

GCF(375,791) x common factors =1 x 1 = 1

LCM(375,791) = ( 375 × 791 ) / 1

LCM(375,791) = 296625 / 1

LCM(375,791) = 296625


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3772/375, 7584/791

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 3772/375, 7584/791?

Answer: GCF of Numerators as per given numbers 3772/375, 7584/791 is

GCF of Numerators i.e. for 3772,7584 is 4

LCM of denominators i.e. for 375,791 is 296625.

Thus, GCF of Fractions is 4/296625.Finally, GCF of Fractions for 3772/375, 7584/791 is 4/296625.