Greatest Common Factor of 1102/78, 5877/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1102/78, 5877/175

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 1102/78,5877/175

Given fractions are 1102/78,5877/175

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 1102,5877

Greatest Common Factor of Numerators i.e. GCF of 1102,5877 is 1 .

LCM of Denominators means LCM of 78,175 as per the given fractions.

LCM of 78,175 is 13650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1102,5877

GCF of Fractions 1102/78,5877/175 is 1/13650

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

Greatest Common Factor of 1102,5877 By Matching Biggest Common Factor Method

Greatest Common Factor of 1102,5877 By Matching Biggest Common Factor Method

Factors of 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1,2,19,29,38,58,551,1102

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1,3,9,653,1959,5877

Greatest Common Factor

We found the factors 1102,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,5877 is 1.

Lets's calculate LCM of 78,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13650

Therefore, the GCF of Fractions 1102/78,5877/175 is 1/13650

Least Common Multiple of 78,175 with GCF Formula

Least Common Multiple of 78,175 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 78,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,175) = 1

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

GCF(78,175) x common factors =1 x 1 = 1

LCM(78,175) = ( 78 × 175 ) / 1

LCM(78,175) = 13650 / 1

LCM(78,175) = 13650


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 1102/78, 5877/175

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 1102/78, 5877/175?

Answer: GCF of Numerators as per given numbers 1102/78, 5877/175 is

GCF of Numerators i.e. for 1102,5877 is 1

LCM of denominators i.e. for 78,175 is 13650.

Thus, GCF of Fractions is 1/13650.Finally, GCF of Fractions for 1102/78, 5877/175 is 1/13650.