Greatest Common Factor of 777/69, 992/7834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/69, 992/7834

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 777/69,992/7834

Given fractions are 777/69,992/7834

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 777,992

Greatest Common Factor of Numerators i.e. GCF of 777,992 is 1 .

LCM of Denominators means LCM of 69,7834 as per the given fractions.

LCM of 69,7834 is 540546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,992

GCF of Fractions 777/69,992/7834 is 1/540546

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

Greatest Common Factor of 777,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,992 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 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 777,992 . The biggest common factor number is the GCF number.
So the greatest common factor 777,992 is 1.

Lets's calculate LCM of 69,7834

Given numbers has no common factors except 1. So, there LCM is their product i.e 540546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540546

Therefore, the GCF of Fractions 777/69,992/7834 is 1/540546

Least Common Multiple of 69,7834 with GCF Formula

Least Common Multiple of 69,7834 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 69,7834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,7834) = 1

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

GCF(69,7834) x common factors =1 x 1 = 1

LCM(69,7834) = ( 69 × 7834 ) / 1

LCM(69,7834) = 540546 / 1

LCM(69,7834) = 540546


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 777/69, 992/7834

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 777/69, 992/7834?

Answer: GCF of Numerators as per given numbers 777/69, 992/7834 is

GCF of Numerators i.e. for 777,992 is 1

LCM of denominators i.e. for 69,7834 is 540546.

Thus, GCF of Fractions is 1/540546.Finally, GCF of Fractions for 777/69, 992/7834 is 1/540546.