Greatest Common Factor of 771/224, 807/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/224, 807/260

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 771/224,807/260

Given fractions are 771/224,807/260

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 771,807

Greatest Common Factor of Numerators i.e. GCF of 771,807 is 3 .

LCM of Denominators means LCM of 224,260 as per the given fractions.

LCM of 224,260 is 14560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,807

GCF of Fractions 771/224,807/260 is 3/14560

3 771, 807
257, 269

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 771,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,807 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 771,807 . The biggest common factor number is the GCF number.
So the greatest common factor 771,807 is 3.

Lets's calculate LCM of 224,260

2 224, 260
2 112, 130
56, 65

∴ So the LCM of the given numbers is 2 x 2 x 56 x 65 = 14560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14560

Therefore, the GCF of Fractions 771/224,807/260 is 3/14560

Least Common Multiple of 224,260 with GCF Formula

Least Common Multiple of 224,260 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 224,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,260) = 4

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

GCF(224,260) x common factors =4 x 1 = 4

LCM(224,260) = ( 224 × 260 ) / 4

LCM(224,260) = 58240 / 4

LCM(224,260) = 14560


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 771/224, 807/260

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 771/224, 807/260?

Answer: GCF of Numerators as per given numbers 771/224, 807/260 is

GCF of Numerators i.e. for 771,807 is 3

LCM of denominators i.e. for 224,260 is 14560.

Thus, GCF of Fractions is 3/14560.Finally, GCF of Fractions for 771/224, 807/260 is 3/14560.