Greatest Common Factor of 2657/464, 3988/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2657/464, 3988/820

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 2657/464,3988/820

Given fractions are 2657/464,3988/820

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 2657,3988

Greatest Common Factor of Numerators i.e. GCF of 2657,3988 is 1 .

LCM of Denominators means LCM of 464,820 as per the given fractions.

LCM of 464,820 is 95120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2657,3988

GCF of Fractions 2657/464,3988/820 is 1/95120

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

Greatest Common Factor of 2657,3988 By Matching Biggest Common Factor Method

Greatest Common Factor of 2657,3988 By Matching Biggest Common Factor Method

Factors of 2657

List of positive integer factors of 2657 that divides 2657 without a remainder.

1,2657

Factors of 3988

List of positive integer factors of 3988 that divides 3988 without a remainder.

1,2,4,997,1994,3988

Greatest Common Factor

We found the factors 2657,3988 . The biggest common factor number is the GCF number.
So the greatest common factor 2657,3988 is 1.

Lets's calculate LCM of 464,820

2 464, 820
2 232, 410
116, 205

∴ So the LCM of the given numbers is 2 x 2 x 116 x 205 = 95120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95120

Therefore, the GCF of Fractions 2657/464,3988/820 is 1/95120

Least Common Multiple of 464,820 with GCF Formula

Least Common Multiple of 464,820 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 464,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,820) = 4

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

GCF(464,820) x common factors =4 x 1 = 4

LCM(464,820) = ( 464 × 820 ) / 4

LCM(464,820) = 380480 / 4

LCM(464,820) = 95120


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 2657/464, 3988/820

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 2657/464, 3988/820?

Answer: GCF of Numerators as per given numbers 2657/464, 3988/820 is

GCF of Numerators i.e. for 2657,3988 is 1

LCM of denominators i.e. for 464,820 is 95120.

Thus, GCF of Fractions is 1/95120.Finally, GCF of Fractions for 2657/464, 3988/820 is 1/95120.