Greatest Common Factor of 877/97, 210/98, 839/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 877/97, 210/98, 839/406

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 877/97,210/98,839/406

Given fractions are 877/97,210/98,839/406

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 877,210,839

Greatest Common Factor of Numerators i.e. GCF of 877,210,839 is 1 .

LCM of Denominators means LCM of 97,98,406 as per the given fractions.

LCM of 97,98,406 is 275674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 877,210,839

GCF of Fractions 877/97,210/98,839/406 is 1/275674

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

Greatest Common Factor of 877,210,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,210,839 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 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 877,210,839 . The biggest common factor number is the GCF number.
So the greatest common factor 877,210,839 is 1.

Lets's calculate LCM of 97,98,406

2 97, 98, 406
7 97, 49, 203
97, 7, 29

∴ So the LCM of the given numbers is 2 x 7 x 97 x 7 x 29 = 275674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275674

Therefore, the GCF of Fractions 877/97,210/98,839/406 is 1/275674

Least Common Multiple of 97,98,406 with GCF Formula

Least Common Multiple of 97,98,406 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 97,98,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,98,406) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(97,98,406) x common factors =1 x 14 = 14

LCM(97,98,406) = ( 97 × 98 × 406 ) / 14

LCM(97,98,406) = 3859436 / 14

LCM(97,98,406) = 275674


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 877/97, 210/98, 839/406

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 877/97, 210/98, 839/406?

Answer: GCF of Numerators as per given numbers 877/97, 210/98, 839/406 is

GCF of Numerators i.e. for 877,210,839 is 1

LCM of denominators i.e. for 97,98,406 is 275674.

Thus, GCF of Fractions is 1/275674.Finally, GCF of Fractions for 877/97, 210/98, 839/406 is 1/275674.