Greatest Common Factor of 702/721, 935/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 702/721, 935/768

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 702/721,935/768

Given fractions are 702/721,935/768

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 702,935

Greatest Common Factor of Numerators i.e. GCF of 702,935 is 1 .

LCM of Denominators means LCM of 721,768 as per the given fractions.

LCM of 721,768 is 553728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 702,935

GCF of Fractions 702/721,935/768 is 1/553728

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

Greatest Common Factor of 702,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,935 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 702,935 . The biggest common factor number is the GCF number.
So the greatest common factor 702,935 is 1.

Lets's calculate LCM of 721,768

Given numbers has no common factors except 1. So, there LCM is their product i.e 553728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553728

Therefore, the GCF of Fractions 702/721,935/768 is 1/553728

Least Common Multiple of 721,768 with GCF Formula

Least Common Multiple of 721,768 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 721,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,768) = 1

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

GCF(721,768) x common factors =1 x 1 = 1

LCM(721,768) = ( 721 × 768 ) / 1

LCM(721,768) = 553728 / 1

LCM(721,768) = 553728


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 702/721, 935/768

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 702/721, 935/768?

Answer: GCF of Numerators as per given numbers 702/721, 935/768 is

GCF of Numerators i.e. for 702,935 is 1

LCM of denominators i.e. for 721,768 is 553728.

Thus, GCF of Fractions is 1/553728.Finally, GCF of Fractions for 702/721, 935/768 is 1/553728.