Greatest Common Factor of 276/404, 782/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 276/404, 782/310

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 276/404,782/310

Given fractions are 276/404,782/310

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 276,782

Greatest Common Factor of Numerators i.e. GCF of 276,782 is 46 .

LCM of Denominators means LCM of 404,310 as per the given fractions.

LCM of 404,310 is 62620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 276,782

GCF of Fractions 276/404,782/310 is 46/62620

2 276, 782
23 138, 391
6, 17

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 276,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,782 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 276,782 . The biggest common factor number is the GCF number.
So the greatest common factor 276,782 is 46.

Lets's calculate LCM of 404,310

2 404, 310
202, 155

∴ So the LCM of the given numbers is 2 x 202 x 155 = 62620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/62620

Therefore, the GCF of Fractions 276/404,782/310 is 46/62620

Least Common Multiple of 404,310 with GCF Formula

Least Common Multiple of 404,310 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 404,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,310) = 2

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

GCF(404,310) x common factors =2 x 1 = 2

LCM(404,310) = ( 404 × 310 ) / 2

LCM(404,310) = 125240 / 2

LCM(404,310) = 62620


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 276/404, 782/310

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 276/404, 782/310?

Answer: GCF of Numerators as per given numbers 276/404, 782/310 is

GCF of Numerators i.e. for 276,782 is 46

LCM of denominators i.e. for 404,310 is 62620.

Thus, GCF of Fractions is 46/62620.Finally, GCF of Fractions for 276/404, 782/310 is 46/62620.