Greatest Common Factor of 2399/49, 8531/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2399/49, 8531/560

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 2399/49,8531/560

Given fractions are 2399/49,8531/560

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 2399,8531

Greatest Common Factor of Numerators i.e. GCF of 2399,8531 is 1 .

LCM of Denominators means LCM of 49,560 as per the given fractions.

LCM of 49,560 is 3920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2399,8531

GCF of Fractions 2399/49,8531/560 is 1/3920

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

Greatest Common Factor of 2399,8531 By Matching Biggest Common Factor Method

Greatest Common Factor of 2399,8531 By Matching Biggest Common Factor Method

Factors of 2399

List of positive integer factors of 2399 that divides 2399 without a remainder.

1,2399

Factors of 8531

List of positive integer factors of 8531 that divides 8531 without a remainder.

1,19,449,8531

Greatest Common Factor

We found the factors 2399,8531 . The biggest common factor number is the GCF number.
So the greatest common factor 2399,8531 is 1.

Lets's calculate LCM of 49,560

7 49, 560
7, 80

∴ So the LCM of the given numbers is 7 x 7 x 80 = 3920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3920

Therefore, the GCF of Fractions 2399/49,8531/560 is 1/3920

Least Common Multiple of 49,560 with GCF Formula

Least Common Multiple of 49,560 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 49,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,560) = 7

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

GCF(49,560) x common factors =7 x 1 = 7

LCM(49,560) = ( 49 × 560 ) / 7

LCM(49,560) = 27440 / 7

LCM(49,560) = 3920


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 2399/49, 8531/560

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 2399/49, 8531/560?

Answer: GCF of Numerators as per given numbers 2399/49, 8531/560 is

GCF of Numerators i.e. for 2399,8531 is 1

LCM of denominators i.e. for 49,560 is 3920.

Thus, GCF of Fractions is 1/3920.Finally, GCF of Fractions for 2399/49, 8531/560 is 1/3920.