Greatest Common Factor of 595/9305, 777/1104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 595/9305, 777/1104

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 595/9305,777/1104

Given fractions are 595/9305,777/1104

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 595,777

Greatest Common Factor of Numerators i.e. GCF of 595,777 is 7 .

LCM of Denominators means LCM of 9305,1104 as per the given fractions.

LCM of 9305,1104 is 10272720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 595,777

GCF of Fractions 595/9305,777/1104 is 7/10272720

7 595, 777
85, 111

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 595,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,777 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 777

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

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

Greatest Common Factor

We found the factors 595,777 . The biggest common factor number is the GCF number.
So the greatest common factor 595,777 is 7.

Lets's calculate LCM of 9305,1104

Given numbers has no common factors except 1. So, there LCM is their product i.e 10272720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10272720

Therefore, the GCF of Fractions 595/9305,777/1104 is 7/10272720

Least Common Multiple of 9305,1104 with GCF Formula

Least Common Multiple of 9305,1104 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 9305,1104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9305,1104) = 1

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

GCF(9305,1104) x common factors =1 x 1 = 1

LCM(9305,1104) = ( 9305 × 1104 ) / 1

LCM(9305,1104) = 10272720 / 1

LCM(9305,1104) = 10272720


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 595/9305, 777/1104

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 595/9305, 777/1104?

Answer: GCF of Numerators as per given numbers 595/9305, 777/1104 is

GCF of Numerators i.e. for 595,777 is 7

LCM of denominators i.e. for 9305,1104 is 10272720.

Thus, GCF of Fractions is 7/10272720.Finally, GCF of Fractions for 595/9305, 777/1104 is 7/10272720.