Greatest Common Factor of 1077/464, 5171/3090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1077/464, 5171/3090

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 1077/464,5171/3090

Given fractions are 1077/464,5171/3090

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 1077,5171

Greatest Common Factor of Numerators i.e. GCF of 1077,5171 is 1 .

LCM of Denominators means LCM of 464,3090 as per the given fractions.

LCM of 464,3090 is 716880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1077,5171

GCF of Fractions 1077/464,5171/3090 is 1/716880

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

Greatest Common Factor of 1077,5171 By Matching Biggest Common Factor Method

Greatest Common Factor of 1077,5171 By Matching Biggest Common Factor Method

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1,3,359,1077

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1,5171

Greatest Common Factor

We found the factors 1077,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 1077,5171 is 1.

Lets's calculate LCM of 464,3090

2 464, 3090
232, 1545

∴ So the LCM of the given numbers is 2 x 232 x 1545 = 716880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716880

Therefore, the GCF of Fractions 1077/464,5171/3090 is 1/716880

Least Common Multiple of 464,3090 with GCF Formula

Least Common Multiple of 464,3090 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 464,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,3090) = 2

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

GCF(464,3090) x common factors =2 x 1 = 2

LCM(464,3090) = ( 464 × 3090 ) / 2

LCM(464,3090) = 1433760 / 2

LCM(464,3090) = 716880


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 1077/464, 5171/3090

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 1077/464, 5171/3090?

Answer: GCF of Numerators as per given numbers 1077/464, 5171/3090 is

GCF of Numerators i.e. for 1077,5171 is 1

LCM of denominators i.e. for 464,3090 is 716880.

Thus, GCF of Fractions is 1/716880.Finally, GCF of Fractions for 1077/464, 5171/3090 is 1/716880.