Greatest Common Factor of 274/820, 515/729, 392/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 274/820, 515/729, 392/502

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 274/820,515/729,392/502

Given fractions are 274/820,515/729,392/502

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 274,515,392

Greatest Common Factor of Numerators i.e. GCF of 274,515,392 is 1 .

LCM of Denominators means LCM of 820,729,502 as per the given fractions.

LCM of 820,729,502 is 150042780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 274,515,392

GCF of Fractions 274/820,515/729,392/502 is 1/150042780

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

Greatest Common Factor of 274,515,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,515,392 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 274,515,392 . The biggest common factor number is the GCF number.
So the greatest common factor 274,515,392 is 1.

Lets's calculate LCM of 820,729,502

2 820, 729, 502
410, 729, 251

∴ So the LCM of the given numbers is 2 x 410 x 729 x 251 = 150042780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150042780

Therefore, the GCF of Fractions 274/820,515/729,392/502 is 1/150042780

Least Common Multiple of 820,729,502 with GCF Formula

Least Common Multiple of 820,729,502 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 820,729,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,729,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(820,729,502) x common factors =1 x 2 = 2

LCM(820,729,502) = ( 820 × 729 × 502 ) / 2

LCM(820,729,502) = 300085560 / 2

LCM(820,729,502) = 150042780


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 274/820, 515/729, 392/502

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 274/820, 515/729, 392/502?

Answer: GCF of Numerators as per given numbers 274/820, 515/729, 392/502 is

GCF of Numerators i.e. for 274,515,392 is 1

LCM of denominators i.e. for 820,729,502 is 150042780.

Thus, GCF of Fractions is 1/150042780.Finally, GCF of Fractions for 274/820, 515/729, 392/502 is 1/150042780.