Greatest Common Factor of 877/681, 248/626, 561/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 877/681, 248/626, 561/549

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 877/681,248/626,561/549

Given fractions are 877/681,248/626,561/549

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 877,248,561

Greatest Common Factor of Numerators i.e. GCF of 877,248,561 is 1 .

LCM of Denominators means LCM of 681,626,549 as per the given fractions.

LCM of 681,626,549 is 78013998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 877,248,561

GCF of Fractions 877/681,248/626,561/549 is 1/78013998

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

Greatest Common Factor of 877,248,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,248,561 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 877,248,561 . The biggest common factor number is the GCF number.
So the greatest common factor 877,248,561 is 1.


Lets's calculate LCM of 681,626,549

3 681, 626, 549
227, 626, 183

∴ So the LCM of the given numbers is 3 x 227 x 626 x 183 = 78013998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78013998

Therefore, the GCF of Fractions 877/681,248/626,561/549 is 1/78013998

Least Common Multiple of 681,626,549 with GCF Formula

Least Common Multiple of 681,626,549 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 681,626,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,626,549) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(681,626,549) x common factors =1 x 3 = 3

LCM(681,626,549) = ( 681 × 626 × 549 ) / 3

LCM(681,626,549) = 234041994 / 3

LCM(681,626,549) = 78013998


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 877/681, 248/626, 561/549

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 877/681, 248/626, 561/549?

Answer: GCF of Numerators as per given numbers 877/681, 248/626, 561/549 is

GCF of Numerators i.e. for 877,248,561 is 1

LCM of denominators i.e. for 681,626,549 is 78013998.

Thus, GCF of Fractions is 1/78013998.Finally, GCF of Fractions for 877/681, 248/626, 561/549 is 1/78013998.