Greatest Common Factor of 5777/77, 5038/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5777/77, 5038/103

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 5777/77,5038/103

Given fractions are 5777/77,5038/103

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 5777,5038

Greatest Common Factor of Numerators i.e. GCF of 5777,5038 is 1 .

LCM of Denominators means LCM of 77,103 as per the given fractions.

LCM of 77,103 is 7931 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5777,5038

GCF of Fractions 5777/77,5038/103 is 1/7931

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

Greatest Common Factor of 5777,5038 By Matching Biggest Common Factor Method

Greatest Common Factor of 5777,5038 By Matching Biggest Common Factor Method

Factors of 5777

List of positive integer factors of 5777 that divides 5777 without a remainder.

1,53,109,5777

Factors of 5038

List of positive integer factors of 5038 that divides 5038 without a remainder.

1,2,11,22,229,458,2519,5038

Greatest Common Factor

We found the factors 5777,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 5777,5038 is 1.

Lets's calculate LCM of 77,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 7931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7931

Therefore, the GCF of Fractions 5777/77,5038/103 is 1/7931

Least Common Multiple of 77,103 with GCF Formula

Least Common Multiple of 77,103 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 77,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,103) = 1

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

GCF(77,103) x common factors =1 x 1 = 1

LCM(77,103) = ( 77 × 103 ) / 1

LCM(77,103) = 7931 / 1

LCM(77,103) = 7931


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 5777/77, 5038/103

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 5777/77, 5038/103?

Answer: GCF of Numerators as per given numbers 5777/77, 5038/103 is

GCF of Numerators i.e. for 5777,5038 is 1

LCM of denominators i.e. for 77,103 is 7931.

Thus, GCF of Fractions is 1/7931.Finally, GCF of Fractions for 5777/77, 5038/103 is 1/7931.