Greatest Common Factor of 2689/772, 3395/7975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2689/772, 3395/7975

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 2689/772,3395/7975

Given fractions are 2689/772,3395/7975

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 2689,3395

Greatest Common Factor of Numerators i.e. GCF of 2689,3395 is 1 .

LCM of Denominators means LCM of 772,7975 as per the given fractions.

LCM of 772,7975 is 6156700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2689,3395

GCF of Fractions 2689/772,3395/7975 is 1/6156700

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

Greatest Common Factor of 2689,3395 By Matching Biggest Common Factor Method

Greatest Common Factor of 2689,3395 By Matching Biggest Common Factor Method

Factors of 2689

List of positive integer factors of 2689 that divides 2689 without a remainder.

1,2689

Factors of 3395

List of positive integer factors of 3395 that divides 3395 without a remainder.

1,5,7,35,97,485,679,3395

Greatest Common Factor

We found the factors 2689,3395 . The biggest common factor number is the GCF number.
So the greatest common factor 2689,3395 is 1.

Lets's calculate LCM of 772,7975

Given numbers has no common factors except 1. So, there LCM is their product i.e 6156700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6156700

Therefore, the GCF of Fractions 2689/772,3395/7975 is 1/6156700

Least Common Multiple of 772,7975 with GCF Formula

Least Common Multiple of 772,7975 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 772,7975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,7975) = 1

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

GCF(772,7975) x common factors =1 x 1 = 1

LCM(772,7975) = ( 772 × 7975 ) / 1

LCM(772,7975) = 6156700 / 1

LCM(772,7975) = 6156700


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 2689/772, 3395/7975

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 2689/772, 3395/7975?

Answer: GCF of Numerators as per given numbers 2689/772, 3395/7975 is

GCF of Numerators i.e. for 2689,3395 is 1

LCM of denominators i.e. for 772,7975 is 6156700.

Thus, GCF of Fractions is 1/6156700.Finally, GCF of Fractions for 2689/772, 3395/7975 is 1/6156700.