Greatest Common Factor of 2978/464, 3679/3897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2978/464, 3679/3897

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 2978/464,3679/3897

Given fractions are 2978/464,3679/3897

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 2978,3679

Greatest Common Factor of Numerators i.e. GCF of 2978,3679 is 1 .

LCM of Denominators means LCM of 464,3897 as per the given fractions.

LCM of 464,3897 is 1808208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2978,3679

GCF of Fractions 2978/464,3679/3897 is 1/1808208

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

Greatest Common Factor of 2978,3679 By Matching Biggest Common Factor Method

Greatest Common Factor of 2978,3679 By Matching Biggest Common Factor Method

Factors of 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1,2,1489,2978

Factors of 3679

List of positive integer factors of 3679 that divides 3679 without a remainder.

1,13,283,3679

Greatest Common Factor

We found the factors 2978,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 2978,3679 is 1.

Lets's calculate LCM of 464,3897

Given numbers has no common factors except 1. So, there LCM is their product i.e 1808208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1808208

Therefore, the GCF of Fractions 2978/464,3679/3897 is 1/1808208

Least Common Multiple of 464,3897 with GCF Formula

Least Common Multiple of 464,3897 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 464,3897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,3897) = 1

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

GCF(464,3897) x common factors =1 x 1 = 1

LCM(464,3897) = ( 464 × 3897 ) / 1

LCM(464,3897) = 1808208 / 1

LCM(464,3897) = 1808208


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 2978/464, 3679/3897

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 2978/464, 3679/3897?

Answer: GCF of Numerators as per given numbers 2978/464, 3679/3897 is

GCF of Numerators i.e. for 2978,3679 is 1

LCM of denominators i.e. for 464,3897 is 1808208.

Thus, GCF of Fractions is 1/1808208.Finally, GCF of Fractions for 2978/464, 3679/3897 is 1/1808208.