Greatest Common Factor of 278/738, 507/899, 812/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/738, 507/899, 812/408

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 278/738,507/899,812/408

Given fractions are 278/738,507/899,812/408

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 278,507,812

Greatest Common Factor of Numerators i.e. GCF of 278,507,812 is 1 .

LCM of Denominators means LCM of 738,899,408 as per the given fractions.

LCM of 738,899,408 is 45115416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,507,812

GCF of Fractions 278/738,507/899,812/408 is 1/45115416

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

Greatest Common Factor of 278,507,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,507,812 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 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 278,507,812 . The biggest common factor number is the GCF number.
So the greatest common factor 278,507,812 is 1.

Lets's calculate LCM of 738,899,408

2 738, 899, 408
3 369, 899, 204
123, 899, 68

∴ So the LCM of the given numbers is 2 x 3 x 123 x 899 x 68 = 45115416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45115416

Therefore, the GCF of Fractions 278/738,507/899,812/408 is 1/45115416

Least Common Multiple of 738,899,408 with GCF Formula

Least Common Multiple of 738,899,408 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 738,899,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,899,408) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(738,899,408) x common factors =1 x 6 = 6

LCM(738,899,408) = ( 738 × 899 × 408 ) / 6

LCM(738,899,408) = 270692496 / 6

LCM(738,899,408) = 45115416


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 278/738, 507/899, 812/408

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 278/738, 507/899, 812/408?

Answer: GCF of Numerators as per given numbers 278/738, 507/899, 812/408 is

GCF of Numerators i.e. for 278,507,812 is 1

LCM of denominators i.e. for 738,899,408 is 45115416.

Thus, GCF of Fractions is 1/45115416.Finally, GCF of Fractions for 278/738, 507/899, 812/408 is 1/45115416.