Greatest Common Factor of 1309/31, 7029/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1309/31, 7029/742

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 1309/31,7029/742

Given fractions are 1309/31,7029/742

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 1309,7029

Greatest Common Factor of Numerators i.e. GCF of 1309,7029 is 11 .

LCM of Denominators means LCM of 31,742 as per the given fractions.

LCM of 31,742 is 23002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1309,7029

GCF of Fractions 1309/31,7029/742 is 11/23002

11 1309, 7029
119, 639

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1309,7029 By Matching Biggest Common Factor Method

Greatest Common Factor of 1309,7029 By Matching Biggest Common Factor Method

Factors of 1309

List of positive integer factors of 1309 that divides 1309 without a remainder.

1,7,11,17,77,119,187,1309

Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1,3,9,11,33,71,99,213,639,781,2343,7029

Greatest Common Factor

We found the factors 1309,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 1309,7029 is 11.

Lets's calculate LCM of 31,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 23002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/23002

Therefore, the GCF of Fractions 1309/31,7029/742 is 11/23002

Least Common Multiple of 31,742 with GCF Formula

Least Common Multiple of 31,742 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 31,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,742) = 1

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

GCF(31,742) x common factors =1 x 1 = 1

LCM(31,742) = ( 31 × 742 ) / 1

LCM(31,742) = 23002 / 1

LCM(31,742) = 23002


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 1309/31, 7029/742

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 1309/31, 7029/742?

Answer: GCF of Numerators as per given numbers 1309/31, 7029/742 is

GCF of Numerators i.e. for 1309,7029 is 11

LCM of denominators i.e. for 31,742 is 23002.

Thus, GCF of Fractions is 11/23002.Finally, GCF of Fractions for 1309/31, 7029/742 is 11/23002.