Greatest Common Factor of 5997/25, 6256/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5997/25, 6256/880

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 5997/25,6256/880

Given fractions are 5997/25,6256/880

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 5997,6256

Greatest Common Factor of Numerators i.e. GCF of 5997,6256 is 1 .

LCM of Denominators means LCM of 25,880 as per the given fractions.

LCM of 25,880 is 4400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5997,6256

GCF of Fractions 5997/25,6256/880 is 1/4400

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

Greatest Common Factor of 5997,6256 By Matching Biggest Common Factor Method

Greatest Common Factor of 5997,6256 By Matching Biggest Common Factor Method

Factors of 5997

List of positive integer factors of 5997 that divides 5997 without a remainder.

1,3,1999,5997

Factors of 6256

List of positive integer factors of 6256 that divides 6256 without a remainder.

1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256

Greatest Common Factor

We found the factors 5997,6256 . The biggest common factor number is the GCF number.
So the greatest common factor 5997,6256 is 1.

Lets's calculate LCM of 25,880

5 25, 880
5, 176

∴ So the LCM of the given numbers is 5 x 5 x 176 = 4400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4400

Therefore, the GCF of Fractions 5997/25,6256/880 is 1/4400

Least Common Multiple of 25,880 with GCF Formula

Least Common Multiple of 25,880 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 25,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,880) = 5

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

GCF(25,880) x common factors =5 x 1 = 5

LCM(25,880) = ( 25 × 880 ) / 5

LCM(25,880) = 22000 / 5

LCM(25,880) = 4400


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 5997/25, 6256/880

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 5997/25, 6256/880?

Answer: GCF of Numerators as per given numbers 5997/25, 6256/880 is

GCF of Numerators i.e. for 5997,6256 is 1

LCM of denominators i.e. for 25,880 is 4400.

Thus, GCF of Fractions is 1/4400.Finally, GCF of Fractions for 5997/25, 6256/880 is 1/4400.