Greatest Common Factor of 564/714, 2551/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/714, 2551/260

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 564/714,2551/260

Given fractions are 564/714,2551/260

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 564,2551

Greatest Common Factor of Numerators i.e. GCF of 564,2551 is 1 .

LCM of Denominators means LCM of 714,260 as per the given fractions.

LCM of 714,260 is 92820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,2551

GCF of Fractions 564/714,2551/260 is 1/92820

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

Greatest Common Factor of 564,2551 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,2551 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 2551

List of positive integer factors of 2551 that divides 2551 without a remainder.

1,2551

Greatest Common Factor

We found the factors 564,2551 . The biggest common factor number is the GCF number.
So the greatest common factor 564,2551 is 1.

Lets's calculate LCM of 714,260

2 714, 260
357, 130

∴ So the LCM of the given numbers is 2 x 357 x 130 = 92820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92820

Therefore, the GCF of Fractions 564/714,2551/260 is 1/92820

Least Common Multiple of 714,260 with GCF Formula

Least Common Multiple of 714,260 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 714,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,260) = 2

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

GCF(714,260) x common factors =2 x 1 = 2

LCM(714,260) = ( 714 × 260 ) / 2

LCM(714,260) = 185640 / 2

LCM(714,260) = 92820


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 564/714, 2551/260

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 564/714, 2551/260?

Answer: GCF of Numerators as per given numbers 564/714, 2551/260 is

GCF of Numerators i.e. for 564,2551 is 1

LCM of denominators i.e. for 714,260 is 92820.

Thus, GCF of Fractions is 1/92820.Finally, GCF of Fractions for 564/714, 2551/260 is 1/92820.