Greatest Common Factor of 6989/69, 2999/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6989/69, 2999/253

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 6989/69,2999/253

Given fractions are 6989/69,2999/253

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 6989,2999

Greatest Common Factor of Numerators i.e. GCF of 6989,2999 is 1 .

LCM of Denominators means LCM of 69,253 as per the given fractions.

LCM of 69,253 is 759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6989,2999

GCF of Fractions 6989/69,2999/253 is 1/759

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

Greatest Common Factor of 6989,2999 By Matching Biggest Common Factor Method

Greatest Common Factor of 6989,2999 By Matching Biggest Common Factor Method

Factors of 6989

List of positive integer factors of 6989 that divides 6989 without a remainder.

1,29,241,6989

Factors of 2999

List of positive integer factors of 2999 that divides 2999 without a remainder.

1,2999

Greatest Common Factor

We found the factors 6989,2999 . The biggest common factor number is the GCF number.
So the greatest common factor 6989,2999 is 1.

Lets's calculate LCM of 69,253

23 69, 253
3, 11

∴ So the LCM of the given numbers is 23 x 3 x 11 = 759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759

Therefore, the GCF of Fractions 6989/69,2999/253 is 1/759

Least Common Multiple of 69,253 with GCF Formula

Least Common Multiple of 69,253 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 69,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,253) = 23

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

GCF(69,253) x common factors =23 x 1 = 23

LCM(69,253) = ( 69 × 253 ) / 23

LCM(69,253) = 17457 / 23

LCM(69,253) = 759


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 6989/69, 2999/253

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 6989/69, 2999/253?

Answer: GCF of Numerators as per given numbers 6989/69, 2999/253 is

GCF of Numerators i.e. for 6989,2999 is 1

LCM of denominators i.e. for 69,253 is 759.

Thus, GCF of Fractions is 1/759.Finally, GCF of Fractions for 6989/69, 2999/253 is 1/759.