Greatest Common Factor of 2977/772, 1566/1440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2977/772, 1566/1440

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 2977/772,1566/1440

Given fractions are 2977/772,1566/1440

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 2977,1566

Greatest Common Factor of Numerators i.e. GCF of 2977,1566 is 1 .

LCM of Denominators means LCM of 772,1440 as per the given fractions.

LCM of 772,1440 is 277920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2977,1566

GCF of Fractions 2977/772,1566/1440 is 1/277920

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

Greatest Common Factor of 2977,1566 By Matching Biggest Common Factor Method

Greatest Common Factor of 2977,1566 By Matching Biggest Common Factor Method

Factors of 2977

List of positive integer factors of 2977 that divides 2977 without a remainder.

1,13,229,2977

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566

Greatest Common Factor

We found the factors 2977,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 2977,1566 is 1.

Lets's calculate LCM of 772,1440

2 772, 1440
2 386, 720
193, 360

∴ So the LCM of the given numbers is 2 x 2 x 193 x 360 = 277920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277920

Therefore, the GCF of Fractions 2977/772,1566/1440 is 1/277920

Least Common Multiple of 772,1440 with GCF Formula

Least Common Multiple of 772,1440 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 772,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,1440) = 4

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

GCF(772,1440) x common factors =4 x 1 = 4

LCM(772,1440) = ( 772 × 1440 ) / 4

LCM(772,1440) = 1111680 / 4

LCM(772,1440) = 277920


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 2977/772, 1566/1440

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 2977/772, 1566/1440?

Answer: GCF of Numerators as per given numbers 2977/772, 1566/1440 is

GCF of Numerators i.e. for 2977,1566 is 1

LCM of denominators i.e. for 772,1440 is 277920.

Thus, GCF of Fractions is 1/277920.Finally, GCF of Fractions for 2977/772, 1566/1440 is 1/277920.