Greatest Common Factor of 2477/256, 1880/9698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2477/256, 1880/9698

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 2477/256,1880/9698

Given fractions are 2477/256,1880/9698

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 2477,1880

Greatest Common Factor of Numerators i.e. GCF of 2477,1880 is 1 .

LCM of Denominators means LCM of 256,9698 as per the given fractions.

LCM of 256,9698 is 1241344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2477,1880

GCF of Fractions 2477/256,1880/9698 is 1/1241344

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

Greatest Common Factor of 2477,1880 By Matching Biggest Common Factor Method

Greatest Common Factor of 2477,1880 By Matching Biggest Common Factor Method

Factors of 2477

List of positive integer factors of 2477 that divides 2477 without a remainder.

1,2477

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Greatest Common Factor

We found the factors 2477,1880 . The biggest common factor number is the GCF number.
So the greatest common factor 2477,1880 is 1.

Lets's calculate LCM of 256,9698

2 256, 9698
128, 4849

∴ So the LCM of the given numbers is 2 x 128 x 4849 = 1241344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1241344

Therefore, the GCF of Fractions 2477/256,1880/9698 is 1/1241344

Least Common Multiple of 256,9698 with GCF Formula

Least Common Multiple of 256,9698 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 256,9698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,9698) = 2

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

GCF(256,9698) x common factors =2 x 1 = 2

LCM(256,9698) = ( 256 × 9698 ) / 2

LCM(256,9698) = 2482688 / 2

LCM(256,9698) = 1241344


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 2477/256, 1880/9698

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 2477/256, 1880/9698?

Answer: GCF of Numerators as per given numbers 2477/256, 1880/9698 is

GCF of Numerators i.e. for 2477,1880 is 1

LCM of denominators i.e. for 256,9698 is 1241344.

Thus, GCF of Fractions is 1/1241344.Finally, GCF of Fractions for 2477/256, 1880/9698 is 1/1241344.