Greatest Common Factor of 80/264, 250/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/264, 250/597

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 80/264,250/597

Given fractions are 80/264,250/597

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 80,250

Greatest Common Factor of Numerators i.e. GCF of 80,250 is 10 .

LCM of Denominators means LCM of 264,597 as per the given fractions.

LCM of 264,597 is 52536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,250

GCF of Fractions 80/264,250/597 is 10/52536

2 80, 250
5 40, 125
8, 25

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 80,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,250 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 80,250 . The biggest common factor number is the GCF number.
So the greatest common factor 80,250 is 10.

Lets's calculate LCM of 264,597

3 264, 597
88, 199

∴ So the LCM of the given numbers is 3 x 88 x 199 = 52536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/52536

Therefore, the GCF of Fractions 80/264,250/597 is 10/52536

Least Common Multiple of 264,597 with GCF Formula

Least Common Multiple of 264,597 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 264,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,597) = 3

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

GCF(264,597) x common factors =3 x 1 = 3

LCM(264,597) = ( 264 × 597 ) / 3

LCM(264,597) = 157608 / 3

LCM(264,597) = 52536


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 80/264, 250/597

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 80/264, 250/597?

Answer: GCF of Numerators as per given numbers 80/264, 250/597 is

GCF of Numerators i.e. for 80,250 is 10

LCM of denominators i.e. for 264,597 is 52536.

Thus, GCF of Fractions is 10/52536.Finally, GCF of Fractions for 80/264, 250/597 is 10/52536.