Greatest Common Factor of 7657/824, 2831/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7657/824, 2831/505

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 7657/824,2831/505

Given fractions are 7657/824,2831/505

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 7657,2831

Greatest Common Factor of Numerators i.e. GCF of 7657,2831 is 19 .

LCM of Denominators means LCM of 824,505 as per the given fractions.

LCM of 824,505 is 416120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7657,2831

GCF of Fractions 7657/824,2831/505 is 19/416120

19 7657, 2831
403, 149

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7657,2831 By Matching Biggest Common Factor Method

Greatest Common Factor of 7657,2831 By Matching Biggest Common Factor Method

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1,13,19,31,247,403,589,7657

Factors of 2831

List of positive integer factors of 2831 that divides 2831 without a remainder.

1,19,149,2831

Greatest Common Factor

We found the factors 7657,2831 . The biggest common factor number is the GCF number.
So the greatest common factor 7657,2831 is 19.

Lets's calculate LCM of 824,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 416120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/416120

Therefore, the GCF of Fractions 7657/824,2831/505 is 19/416120

Least Common Multiple of 824,505 with GCF Formula

Least Common Multiple of 824,505 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 824,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,505) = 1

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

GCF(824,505) x common factors =1 x 1 = 1

LCM(824,505) = ( 824 × 505 ) / 1

LCM(824,505) = 416120 / 1

LCM(824,505) = 416120


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 7657/824, 2831/505

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 7657/824, 2831/505?

Answer: GCF of Numerators as per given numbers 7657/824, 2831/505 is

GCF of Numerators i.e. for 7657,2831 is 19

LCM of denominators i.e. for 824,505 is 416120.

Thus, GCF of Fractions is 19/416120.Finally, GCF of Fractions for 7657/824, 2831/505 is 19/416120.