Greatest Common Factor of 2899/602, 1744/9164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2899/602, 1744/9164

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 2899/602,1744/9164

Given fractions are 2899/602,1744/9164

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 2899,1744

Greatest Common Factor of Numerators i.e. GCF of 2899,1744 is 1 .

LCM of Denominators means LCM of 602,9164 as per the given fractions.

LCM of 602,9164 is 2758364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2899,1744

GCF of Fractions 2899/602,1744/9164 is 1/2758364

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

Greatest Common Factor of 2899,1744 By Matching Biggest Common Factor Method

Greatest Common Factor of 2899,1744 By Matching Biggest Common Factor Method

Factors of 2899

List of positive integer factors of 2899 that divides 2899 without a remainder.

1,13,223,2899

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Greatest Common Factor

We found the factors 2899,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 2899,1744 is 1.

Lets's calculate LCM of 602,9164

2 602, 9164
301, 4582

∴ So the LCM of the given numbers is 2 x 301 x 4582 = 2758364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2758364

Therefore, the GCF of Fractions 2899/602,1744/9164 is 1/2758364

Least Common Multiple of 602,9164 with GCF Formula

Least Common Multiple of 602,9164 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 602,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,9164) = 2

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

GCF(602,9164) x common factors =2 x 1 = 2

LCM(602,9164) = ( 602 × 9164 ) / 2

LCM(602,9164) = 5516728 / 2

LCM(602,9164) = 2758364


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 2899/602, 1744/9164

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 2899/602, 1744/9164?

Answer: GCF of Numerators as per given numbers 2899/602, 1744/9164 is

GCF of Numerators i.e. for 2899,1744 is 1

LCM of denominators i.e. for 602,9164 is 2758364.

Thus, GCF of Fractions is 1/2758364.Finally, GCF of Fractions for 2899/602, 1744/9164 is 1/2758364.