Greatest Common Factor of 278/764, 567/374, 538/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/764, 567/374, 538/306

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 278/764,567/374,538/306

Given fractions are 278/764,567/374,538/306

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 278,567,538

Greatest Common Factor of Numerators i.e. GCF of 278,567,538 is 1 .

LCM of Denominators means LCM of 764,374,306 as per the given fractions.

LCM of 764,374,306 is 1285812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,567,538

GCF of Fractions 278/764,567/374,538/306 is 1/1285812

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

Greatest Common Factor of 278,567,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,567,538 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 278,567,538 . The biggest common factor number is the GCF number.
So the greatest common factor 278,567,538 is 1.

Lets's calculate LCM of 764,374,306

2 764, 374, 306
17 382, 187, 153
382, 11, 9

∴ So the LCM of the given numbers is 2 x 17 x 382 x 11 x 9 = 1285812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1285812

Therefore, the GCF of Fractions 278/764,567/374,538/306 is 1/1285812

Least Common Multiple of 764,374,306 with GCF Formula

Least Common Multiple of 764,374,306 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 764,374,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,374,306) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(764,374,306) x common factors =2 x 34 = 68

LCM(764,374,306) = ( 764 × 374 × 306 ) / 68

LCM(764,374,306) = 87435216 / 68

LCM(764,374,306) = 1285812


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 278/764, 567/374, 538/306

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 278/764, 567/374, 538/306?

Answer: GCF of Numerators as per given numbers 278/764, 567/374, 538/306 is

GCF of Numerators i.e. for 278,567,538 is 1

LCM of denominators i.e. for 764,374,306 is 1285812.

Thus, GCF of Fractions is 1/1285812.Finally, GCF of Fractions for 278/764, 567/374, 538/306 is 1/1285812.