Greatest Common Factor of 2650/100, 7309/6176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2650/100, 7309/6176

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 2650/100,7309/6176

Given fractions are 2650/100,7309/6176

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 2650,7309

Greatest Common Factor of Numerators i.e. GCF of 2650,7309 is 1 .

LCM of Denominators means LCM of 100,6176 as per the given fractions.

LCM of 100,6176 is 154400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2650,7309

GCF of Fractions 2650/100,7309/6176 is 1/154400

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

Greatest Common Factor of 2650,7309 By Matching Biggest Common Factor Method

Greatest Common Factor of 2650,7309 By Matching Biggest Common Factor Method

Factors of 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1,2,5,10,25,50,53,106,265,530,1325,2650

Factors of 7309

List of positive integer factors of 7309 that divides 7309 without a remainder.

1,7309

Greatest Common Factor

We found the factors 2650,7309 . The biggest common factor number is the GCF number.
So the greatest common factor 2650,7309 is 1.

Lets's calculate LCM of 100,6176

2 100, 6176
2 50, 3088
25, 1544

∴ So the LCM of the given numbers is 2 x 2 x 25 x 1544 = 154400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154400

Therefore, the GCF of Fractions 2650/100,7309/6176 is 1/154400

Least Common Multiple of 100,6176 with GCF Formula

Least Common Multiple of 100,6176 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 100,6176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,6176) = 4

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

GCF(100,6176) x common factors =4 x 1 = 4

LCM(100,6176) = ( 100 × 6176 ) / 4

LCM(100,6176) = 617600 / 4

LCM(100,6176) = 154400


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 2650/100, 7309/6176

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 2650/100, 7309/6176?

Answer: GCF of Numerators as per given numbers 2650/100, 7309/6176 is

GCF of Numerators i.e. for 2650,7309 is 1

LCM of denominators i.e. for 100,6176 is 154400.

Thus, GCF of Fractions is 1/154400.Finally, GCF of Fractions for 2650/100, 7309/6176 is 1/154400.