Greatest Common Factor of 273/814, 3031/7460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/814, 3031/7460

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 273/814,3031/7460

Given fractions are 273/814,3031/7460

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 273,3031

Greatest Common Factor of Numerators i.e. GCF of 273,3031 is 7 .

LCM of Denominators means LCM of 814,7460 as per the given fractions.

LCM of 814,7460 is 3036220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,3031

GCF of Fractions 273/814,3031/7460 is 7/3036220

7 273, 3031
39, 433

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 273,3031 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,3031 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 3031

List of positive integer factors of 3031 that divides 3031 without a remainder.

1,7,433,3031

Greatest Common Factor

We found the factors 273,3031 . The biggest common factor number is the GCF number.
So the greatest common factor 273,3031 is 7.

Lets's calculate LCM of 814,7460

2 814, 7460
407, 3730

∴ So the LCM of the given numbers is 2 x 407 x 3730 = 3036220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3036220

Therefore, the GCF of Fractions 273/814,3031/7460 is 7/3036220

Least Common Multiple of 814,7460 with GCF Formula

Least Common Multiple of 814,7460 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 814,7460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,7460) = 2

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

GCF(814,7460) x common factors =2 x 1 = 2

LCM(814,7460) = ( 814 × 7460 ) / 2

LCM(814,7460) = 6072440 / 2

LCM(814,7460) = 3036220


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 273/814, 3031/7460

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 273/814, 3031/7460?

Answer: GCF of Numerators as per given numbers 273/814, 3031/7460 is

GCF of Numerators i.e. for 273,3031 is 7

LCM of denominators i.e. for 814,7460 is 3036220.

Thus, GCF of Fractions is 7/3036220.Finally, GCF of Fractions for 273/814, 3031/7460 is 7/3036220.