Greatest Common Factor of 714/13, 689/65, 721/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/13, 689/65, 721/71

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 714/13,689/65,721/71

Given fractions are 714/13,689/65,721/71

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 714,689,721

Greatest Common Factor of Numerators i.e. GCF of 714,689,721 is 1 .

LCM of Denominators means LCM of 13,65,71 as per the given fractions.

LCM of 13,65,71 is 4615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,689,721

GCF of Fractions 714/13,689/65,721/71 is 1/4615

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

Greatest Common Factor of 714,689,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,689,721 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 721

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

1,7,103,721

Greatest Common Factor

We found the factors 714,689,721 . The biggest common factor number is the GCF number.
So the greatest common factor 714,689,721 is 1.

Lets's calculate LCM of 13,65,71

13 13, 65, 71
1, 5, 71

∴ So the LCM of the given numbers is 13 x 1 x 5 x 71 = 4615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4615

Therefore, the GCF of Fractions 714/13,689/65,721/71 is 1/4615

Least Common Multiple of 13,65,71 with GCF Formula

Least Common Multiple of 13,65,71 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 13,65,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,65,71) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,65,71) x common factors =1 x 13 = 13

LCM(13,65,71) = ( 13 × 65 × 71 ) / 13

LCM(13,65,71) = 59995 / 13

LCM(13,65,71) = 4615


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 714/13, 689/65, 721/71

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 714/13, 689/65, 721/71?

Answer: GCF of Numerators as per given numbers 714/13, 689/65, 721/71 is

GCF of Numerators i.e. for 714,689,721 is 1

LCM of denominators i.e. for 13,65,71 is 4615.

Thus, GCF of Fractions is 1/4615.Finally, GCF of Fractions for 714/13, 689/65, 721/71 is 1/4615.