Greatest Common Factor of 538/678, 321/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/678, 321/776

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 538/678,321/776

Given fractions are 538/678,321/776

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 538,321

Greatest Common Factor of Numerators i.e. GCF of 538,321 is 1 .

LCM of Denominators means LCM of 678,776 as per the given fractions.

LCM of 678,776 is 263064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,321

GCF of Fractions 538/678,321/776 is 1/263064

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

Greatest Common Factor of 538,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,321 By Matching Biggest Common Factor Method

Factors of 538

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

1,2,269,538

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 538,321 . The biggest common factor number is the GCF number.
So the greatest common factor 538,321 is 1.

Lets's calculate LCM of 678,776

2 678, 776
339, 388

∴ So the LCM of the given numbers is 2 x 339 x 388 = 263064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263064

Therefore, the GCF of Fractions 538/678,321/776 is 1/263064

Least Common Multiple of 678,776 with GCF Formula

Least Common Multiple of 678,776 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 678,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,776) = 2

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

GCF(678,776) x common factors =2 x 1 = 2

LCM(678,776) = ( 678 × 776 ) / 2

LCM(678,776) = 526128 / 2

LCM(678,776) = 263064


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 538/678, 321/776

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 538/678, 321/776?

Answer: GCF of Numerators as per given numbers 538/678, 321/776 is

GCF of Numerators i.e. for 538,321 is 1

LCM of denominators i.e. for 678,776 is 263064.

Thus, GCF of Fractions is 1/263064.Finally, GCF of Fractions for 538/678, 321/776 is 1/263064.