Greatest Common Factor of 7799/68, 2893/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7799/68, 2893/739

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 7799/68,2893/739

Given fractions are 7799/68,2893/739

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 7799,2893

Greatest Common Factor of Numerators i.e. GCF of 7799,2893 is 11 .

LCM of Denominators means LCM of 68,739 as per the given fractions.

LCM of 68,739 is 50252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7799,2893

GCF of Fractions 7799/68,2893/739 is 11/50252

11 7799, 2893
709, 263

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7799,2893 By Matching Biggest Common Factor Method

Greatest Common Factor of 7799,2893 By Matching Biggest Common Factor Method

Factors of 7799

List of positive integer factors of 7799 that divides 7799 without a remainder.

1,11,709,7799

Factors of 2893

List of positive integer factors of 2893 that divides 2893 without a remainder.

1,11,263,2893

Greatest Common Factor

We found the factors 7799,2893 . The biggest common factor number is the GCF number.
So the greatest common factor 7799,2893 is 11.

Lets's calculate LCM of 68,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 50252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/50252

Therefore, the GCF of Fractions 7799/68,2893/739 is 11/50252

Least Common Multiple of 68,739 with GCF Formula

Least Common Multiple of 68,739 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 68,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,739) = 1

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

GCF(68,739) x common factors =1 x 1 = 1

LCM(68,739) = ( 68 × 739 ) / 1

LCM(68,739) = 50252 / 1

LCM(68,739) = 50252


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 7799/68, 2893/739

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 7799/68, 2893/739?

Answer: GCF of Numerators as per given numbers 7799/68, 2893/739 is

GCF of Numerators i.e. for 7799,2893 is 11

LCM of denominators i.e. for 68,739 is 50252.

Thus, GCF of Fractions is 11/50252.Finally, GCF of Fractions for 7799/68, 2893/739 is 11/50252.