Greatest Common Factor of 2909/752, 1010/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2909/752, 1010/919

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 2909/752,1010/919

Given fractions are 2909/752,1010/919

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 2909,1010

Greatest Common Factor of Numerators i.e. GCF of 2909,1010 is 1 .

LCM of Denominators means LCM of 752,919 as per the given fractions.

LCM of 752,919 is 691088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2909,1010

GCF of Fractions 2909/752,1010/919 is 1/691088

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

Greatest Common Factor of 2909,1010 By Matching Biggest Common Factor Method

Greatest Common Factor of 2909,1010 By Matching Biggest Common Factor Method

Factors of 2909

List of positive integer factors of 2909 that divides 2909 without a remainder.

1,2909

Factors of 1010

List of positive integer factors of 1010 that divides 1010 without a remainder.

1,2,5,10,101,202,505,1010

Greatest Common Factor

We found the factors 2909,1010 . The biggest common factor number is the GCF number.
So the greatest common factor 2909,1010 is 1.

Lets's calculate LCM of 752,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 691088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/691088

Therefore, the GCF of Fractions 2909/752,1010/919 is 1/691088

Least Common Multiple of 752,919 with GCF Formula

Least Common Multiple of 752,919 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 752,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,919) = 1

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

GCF(752,919) x common factors =1 x 1 = 1

LCM(752,919) = ( 752 × 919 ) / 1

LCM(752,919) = 691088 / 1

LCM(752,919) = 691088


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 2909/752, 1010/919

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 2909/752, 1010/919?

Answer: GCF of Numerators as per given numbers 2909/752, 1010/919 is

GCF of Numerators i.e. for 2909,1010 is 1

LCM of denominators i.e. for 752,919 is 691088.

Thus, GCF of Fractions is 1/691088.Finally, GCF of Fractions for 2909/752, 1010/919 is 1/691088.