Greatest Common Factor of 779/72, 8322/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/72, 8322/977

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 779/72,8322/977

Given fractions are 779/72,8322/977

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 779,8322

Greatest Common Factor of Numerators i.e. GCF of 779,8322 is 19 .

LCM of Denominators means LCM of 72,977 as per the given fractions.

LCM of 72,977 is 70344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,8322

GCF of Fractions 779/72,8322/977 is 19/70344

19 779, 8322
41, 438

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 779,8322 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,8322 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Greatest Common Factor

We found the factors 779,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 779,8322 is 19.

Lets's calculate LCM of 72,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 70344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/70344

Therefore, the GCF of Fractions 779/72,8322/977 is 19/70344

Least Common Multiple of 72,977 with GCF Formula

Least Common Multiple of 72,977 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 72,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,977) = 1

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

GCF(72,977) x common factors =1 x 1 = 1

LCM(72,977) = ( 72 × 977 ) / 1

LCM(72,977) = 70344 / 1

LCM(72,977) = 70344


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 779/72, 8322/977

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 779/72, 8322/977?

Answer: GCF of Numerators as per given numbers 779/72, 8322/977 is

GCF of Numerators i.e. for 779,8322 is 19

LCM of denominators i.e. for 72,977 is 70344.

Thus, GCF of Fractions is 19/70344.Finally, GCF of Fractions for 779/72, 8322/977 is 19/70344.