Greatest Common Factor of 799/98, 777/56, 958/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 799/98, 777/56, 958/73

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 799/98,777/56,958/73

Given fractions are 799/98,777/56,958/73

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 799,777,958

Greatest Common Factor of Numerators i.e. GCF of 799,777,958 is 1 .

LCM of Denominators means LCM of 98,56,73 as per the given fractions.

LCM of 98,56,73 is 28616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 799,777,958

GCF of Fractions 799/98,777/56,958/73 is 1/28616

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

Greatest Common Factor of 799,777,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,777,958 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 799,777,958 . The biggest common factor number is the GCF number.
So the greatest common factor 799,777,958 is 1.

Lets's calculate LCM of 98,56,73

2 98, 56, 73
7 49, 28, 73
7, 4, 73

∴ So the LCM of the given numbers is 2 x 7 x 7 x 4 x 73 = 28616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28616

Therefore, the GCF of Fractions 799/98,777/56,958/73 is 1/28616

Least Common Multiple of 98,56,73 with GCF Formula

Least Common Multiple of 98,56,73 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 98,56,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,56,73) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(98,56,73) x common factors =1 x 14 = 14

LCM(98,56,73) = ( 98 × 56 × 73 ) / 14

LCM(98,56,73) = 400624 / 14

LCM(98,56,73) = 28616


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 799/98, 777/56, 958/73

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 799/98, 777/56, 958/73?

Answer: GCF of Numerators as per given numbers 799/98, 777/56, 958/73 is

GCF of Numerators i.e. for 799,777,958 is 1

LCM of denominators i.e. for 98,56,73 is 28616.

Thus, GCF of Fractions is 1/28616.Finally, GCF of Fractions for 799/98, 777/56, 958/73 is 1/28616.