Greatest Common Factor of 777/23, 9516/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/23, 9516/745

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 777/23,9516/745

Given fractions are 777/23,9516/745

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 777,9516

Greatest Common Factor of Numerators i.e. GCF of 777,9516 is 3 .

LCM of Denominators means LCM of 23,745 as per the given fractions.

LCM of 23,745 is 17135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,9516

GCF of Fractions 777/23,9516/745 is 3/17135

3 777, 9516
259, 3172

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 777,9516 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,9516 By Matching Biggest Common Factor Method

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 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516

Greatest Common Factor

We found the factors 777,9516 . The biggest common factor number is the GCF number.
So the greatest common factor 777,9516 is 3.

Lets's calculate LCM of 23,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 17135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17135

Therefore, the GCF of Fractions 777/23,9516/745 is 3/17135

Least Common Multiple of 23,745 with GCF Formula

Least Common Multiple of 23,745 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 23,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,745) = 1

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

GCF(23,745) x common factors =1 x 1 = 1

LCM(23,745) = ( 23 × 745 ) / 1

LCM(23,745) = 17135 / 1

LCM(23,745) = 17135


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 777/23, 9516/745

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 777/23, 9516/745?

Answer: GCF of Numerators as per given numbers 777/23, 9516/745 is

GCF of Numerators i.e. for 777,9516 is 3

LCM of denominators i.e. for 23,745 is 17135.

Thus, GCF of Fractions is 3/17135.Finally, GCF of Fractions for 777/23, 9516/745 is 3/17135.