Greatest Common Factor of 2794/118, 6734/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2794/118, 6734/799

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 2794/118,6734/799

Given fractions are 2794/118,6734/799

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 2794,6734

Greatest Common Factor of Numerators i.e. GCF of 2794,6734 is 2 .

LCM of Denominators means LCM of 118,799 as per the given fractions.

LCM of 118,799 is 94282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2794,6734

GCF of Fractions 2794/118,6734/799 is 2/94282

2 2794, 6734
1397, 3367

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2794,6734 By Matching Biggest Common Factor Method

Greatest Common Factor of 2794,6734 By Matching Biggest Common Factor Method

Factors of 2794

List of positive integer factors of 2794 that divides 2794 without a remainder.

1,2,11,22,127,254,1397,2794

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Greatest Common Factor

We found the factors 2794,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 2794,6734 is 2.

Lets's calculate LCM of 118,799

Given numbers has no common factors except 1. So, there LCM is their product i.e 94282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94282

Therefore, the GCF of Fractions 2794/118,6734/799 is 2/94282

Least Common Multiple of 118,799 with GCF Formula

Least Common Multiple of 118,799 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 118,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,799) = 1

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

GCF(118,799) x common factors =1 x 1 = 1

LCM(118,799) = ( 118 × 799 ) / 1

LCM(118,799) = 94282 / 1

LCM(118,799) = 94282


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 2794/118, 6734/799

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 2794/118, 6734/799?

Answer: GCF of Numerators as per given numbers 2794/118, 6734/799 is

GCF of Numerators i.e. for 2794,6734 is 2

LCM of denominators i.e. for 118,799 is 94282.

Thus, GCF of Fractions is 2/94282.Finally, GCF of Fractions for 2794/118, 6734/799 is 2/94282.