Greatest Common Factor of 2798/360, 1793/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2798/360, 1793/658

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 2798/360,1793/658

Given fractions are 2798/360,1793/658

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 2798,1793

Greatest Common Factor of Numerators i.e. GCF of 2798,1793 is 1 .

LCM of Denominators means LCM of 360,658 as per the given fractions.

LCM of 360,658 is 118440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2798,1793

GCF of Fractions 2798/360,1793/658 is 1/118440

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

Greatest Common Factor of 2798,1793 By Matching Biggest Common Factor Method

Greatest Common Factor of 2798,1793 By Matching Biggest Common Factor Method

Factors of 2798

List of positive integer factors of 2798 that divides 2798 without a remainder.

1,2,1399,2798

Factors of 1793

List of positive integer factors of 1793 that divides 1793 without a remainder.

1,11,163,1793

Greatest Common Factor

We found the factors 2798,1793 . The biggest common factor number is the GCF number.
So the greatest common factor 2798,1793 is 1.

Lets's calculate LCM of 360,658

2 360, 658
180, 329

∴ So the LCM of the given numbers is 2 x 180 x 329 = 118440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118440

Therefore, the GCF of Fractions 2798/360,1793/658 is 1/118440

Least Common Multiple of 360,658 with GCF Formula

Least Common Multiple of 360,658 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 360,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,658) = 2

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

GCF(360,658) x common factors =2 x 1 = 2

LCM(360,658) = ( 360 × 658 ) / 2

LCM(360,658) = 236880 / 2

LCM(360,658) = 118440


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 2798/360, 1793/658

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 2798/360, 1793/658?

Answer: GCF of Numerators as per given numbers 2798/360, 1793/658 is

GCF of Numerators i.e. for 2798,1793 is 1

LCM of denominators i.e. for 360,658 is 118440.

Thus, GCF of Fractions is 1/118440.Finally, GCF of Fractions for 2798/360, 1793/658 is 1/118440.