Greatest Common Factor of 7741/52, 4325/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7741/52, 4325/816

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 7741/52,4325/816

Given fractions are 7741/52,4325/816

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 7741,4325

Greatest Common Factor of Numerators i.e. GCF of 7741,4325 is 1 .

LCM of Denominators means LCM of 52,816 as per the given fractions.

LCM of 52,816 is 10608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7741,4325

GCF of Fractions 7741/52,4325/816 is 1/10608

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7741,4325 By Matching Biggest Common Factor Method

Greatest Common Factor of 7741,4325 By Matching Biggest Common Factor Method

Factors of 7741

List of positive integer factors of 7741 that divides 7741 without a remainder.

1,7741

Factors of 4325

List of positive integer factors of 4325 that divides 4325 without a remainder.

1,5,25,173,865,4325

Greatest Common Factor

We found the factors 7741,4325 . The biggest common factor number is the GCF number.
So the greatest common factor 7741,4325 is 1.

Lets's calculate LCM of 52,816

2 52, 816
2 26, 408
13, 204

∴ So the LCM of the given numbers is 2 x 2 x 13 x 204 = 10608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10608

Therefore, the GCF of Fractions 7741/52,4325/816 is 1/10608

Least Common Multiple of 52,816 with GCF Formula

Least Common Multiple of 52,816 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 52,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,816) = 4

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

GCF(52,816) x common factors =4 x 1 = 4

LCM(52,816) = ( 52 × 816 ) / 4

LCM(52,816) = 42432 / 4

LCM(52,816) = 10608


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 7741/52, 4325/816

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 7741/52, 4325/816?

Answer: GCF of Numerators as per given numbers 7741/52, 4325/816 is

GCF of Numerators i.e. for 7741,4325 is 1

LCM of denominators i.e. for 52,816 is 10608.

Thus, GCF of Fractions is 1/10608.Finally, GCF of Fractions for 7741/52, 4325/816 is 1/10608.