Greatest Common Factor of 777/734, 2745/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/734, 2745/798

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 777/734,2745/798

Given fractions are 777/734,2745/798

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 777,2745

Greatest Common Factor of Numerators i.e. GCF of 777,2745 is 3 .

LCM of Denominators means LCM of 734,798 as per the given fractions.

LCM of 734,798 is 292866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,2745

GCF of Fractions 777/734,2745/798 is 3/292866

3 777, 2745
259, 915

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

Greatest Common Factor of 777,2745 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,2745 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 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1,3,5,9,15,45,61,183,305,549,915,2745

Greatest Common Factor

We found the factors 777,2745 . The biggest common factor number is the GCF number.
So the greatest common factor 777,2745 is 3.

Lets's calculate LCM of 734,798

2 734, 798
367, 399

∴ So the LCM of the given numbers is 2 x 367 x 399 = 292866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/292866

Therefore, the GCF of Fractions 777/734,2745/798 is 3/292866

Least Common Multiple of 734,798 with GCF Formula

Least Common Multiple of 734,798 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 734,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,798) = 2

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

GCF(734,798) x common factors =2 x 1 = 2

LCM(734,798) = ( 734 × 798 ) / 2

LCM(734,798) = 585732 / 2

LCM(734,798) = 292866


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 777/734, 2745/798

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 777/734, 2745/798?

Answer: GCF of Numerators as per given numbers 777/734, 2745/798 is

GCF of Numerators i.e. for 777,2745 is 3

LCM of denominators i.e. for 734,798 is 292866.

Thus, GCF of Fractions is 3/292866.Finally, GCF of Fractions for 777/734, 2745/798 is 3/292866.