Greatest Common Factor of 212/278, 507/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/278, 507/874

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 212/278,507/874

Given fractions are 212/278,507/874

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 212,507

Greatest Common Factor of Numerators i.e. GCF of 212,507 is 1 .

LCM of Denominators means LCM of 278,874 as per the given fractions.

LCM of 278,874 is 121486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,507

GCF of Fractions 212/278,507/874 is 1/121486

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

Greatest Common Factor of 212,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,507 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 507

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

1,3,13,39,169,507

Greatest Common Factor

We found the factors 212,507 . The biggest common factor number is the GCF number.
So the greatest common factor 212,507 is 1.

Lets's calculate LCM of 278,874

2 278, 874
139, 437

∴ So the LCM of the given numbers is 2 x 139 x 437 = 121486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121486

Therefore, the GCF of Fractions 212/278,507/874 is 1/121486

Least Common Multiple of 278,874 with GCF Formula

Least Common Multiple of 278,874 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 278,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,874) = 2

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

GCF(278,874) x common factors =2 x 1 = 2

LCM(278,874) = ( 278 × 874 ) / 2

LCM(278,874) = 242972 / 2

LCM(278,874) = 121486


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 212/278, 507/874

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 212/278, 507/874?

Answer: GCF of Numerators as per given numbers 212/278, 507/874 is

GCF of Numerators i.e. for 212,507 is 1

LCM of denominators i.e. for 278,874 is 121486.

Thus, GCF of Fractions is 1/121486.Finally, GCF of Fractions for 212/278, 507/874 is 1/121486.