Greatest Common Factor of 514/256, 212/173, 378/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 514/256, 212/173, 378/197

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 514/256,212/173,378/197

Given fractions are 514/256,212/173,378/197

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 514,212,378

Greatest Common Factor of Numerators i.e. GCF of 514,212,378 is 2 .

LCM of Denominators means LCM of 256,173,197 as per the given fractions.

LCM of 256,173,197 is 8724736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 514,212,378

GCF of Fractions 514/256,212/173,378/197 is 2/8724736

2 514, 212, 378
257, 106, 189

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 514,212,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,212,378 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 212

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

1,2,4,53,106,212

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 514,212,378 . The biggest common factor number is the GCF number.
So the greatest common factor 514,212,378 is 2.

Lets's calculate LCM of 256,173,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 8724736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8724736

Therefore, the GCF of Fractions 514/256,212/173,378/197 is 2/8724736

Least Common Multiple of 256,173,197 with GCF Formula

Least Common Multiple of 256,173,197 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 256,173,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,173,197) = 1

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

GCF(256,173,197) x common factors =1 x 1 = 1

LCM(256,173,197) = ( 256 × 173 × 197 ) / 1

LCM(256,173,197) = 8724736 / 1

LCM(256,173,197) = 8724736


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 514/256, 212/173, 378/197

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 514/256, 212/173, 378/197?

Answer: GCF of Numerators as per given numbers 514/256, 212/173, 378/197 is

GCF of Numerators i.e. for 514,212,378 is 2

LCM of denominators i.e. for 256,173,197 is 8724736.

Thus, GCF of Fractions is 2/8724736.Finally, GCF of Fractions for 514/256, 212/173, 378/197 is 2/8724736.