Greatest Common Factor of 7604/37, 2683/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7604/37, 2683/689

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 7604/37,2683/689

Given fractions are 7604/37,2683/689

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 7604,2683

Greatest Common Factor of Numerators i.e. GCF of 7604,2683 is 1 .

LCM of Denominators means LCM of 37,689 as per the given fractions.

LCM of 37,689 is 25493 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7604,2683

GCF of Fractions 7604/37,2683/689 is 1/25493

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

Greatest Common Factor of 7604,2683 By Matching Biggest Common Factor Method

Greatest Common Factor of 7604,2683 By Matching Biggest Common Factor Method

Factors of 7604

List of positive integer factors of 7604 that divides 7604 without a remainder.

1,2,4,1901,3802,7604

Factors of 2683

List of positive integer factors of 2683 that divides 2683 without a remainder.

1,2683

Greatest Common Factor

We found the factors 7604,2683 . The biggest common factor number is the GCF number.
So the greatest common factor 7604,2683 is 1.

Lets's calculate LCM of 37,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 25493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25493

Therefore, the GCF of Fractions 7604/37,2683/689 is 1/25493

Least Common Multiple of 37,689 with GCF Formula

Least Common Multiple of 37,689 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 37,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,689) = 1

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

GCF(37,689) x common factors =1 x 1 = 1

LCM(37,689) = ( 37 × 689 ) / 1

LCM(37,689) = 25493 / 1

LCM(37,689) = 25493


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 7604/37, 2683/689

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 7604/37, 2683/689?

Answer: GCF of Numerators as per given numbers 7604/37, 2683/689 is

GCF of Numerators i.e. for 7604,2683 is 1

LCM of denominators i.e. for 37,689 is 25493.

Thus, GCF of Fractions is 1/25493.Finally, GCF of Fractions for 7604/37, 2683/689 is 1/25493.