Greatest Common Factor of 266/897, 721/991, 835/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/897, 721/991, 835/968

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 266/897,721/991,835/968

Given fractions are 266/897,721/991,835/968

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 266,721,835

Greatest Common Factor of Numerators i.e. GCF of 266,721,835 is 1 .

LCM of Denominators means LCM of 897,991,968 as per the given fractions.

LCM of 897,991,968 is 860481336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,721,835

GCF of Fractions 266/897,721/991,835/968 is 1/860481336

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

Greatest Common Factor of 266,721,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,721,835 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 266,721,835 . The biggest common factor number is the GCF number.
So the greatest common factor 266,721,835 is 1.

Lets's calculate LCM of 897,991,968

Given numbers has no common factors except 1. So, there LCM is their product i.e 860481336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/860481336

Therefore, the GCF of Fractions 266/897,721/991,835/968 is 1/860481336

Least Common Multiple of 897,991,968 with GCF Formula

Least Common Multiple of 897,991,968 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 897,991,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,991,968) = 1

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

GCF(897,991,968) x common factors =1 x 1 = 1

LCM(897,991,968) = ( 897 × 991 × 968 ) / 1

LCM(897,991,968) = 860481336 / 1

LCM(897,991,968) = 860481336


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 266/897, 721/991, 835/968

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 266/897, 721/991, 835/968?

Answer: GCF of Numerators as per given numbers 266/897, 721/991, 835/968 is

GCF of Numerators i.e. for 266,721,835 is 1

LCM of denominators i.e. for 897,991,968 is 860481336.

Thus, GCF of Fractions is 1/860481336.Finally, GCF of Fractions for 266/897, 721/991, 835/968 is 1/860481336.