Greatest Common Factor of 798/77, 819/9153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/77, 819/9153

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 798/77,819/9153

Given fractions are 798/77,819/9153

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 798,819

Greatest Common Factor of Numerators i.e. GCF of 798,819 is 21 .

LCM of Denominators means LCM of 77,9153 as per the given fractions.

LCM of 77,9153 is 704781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,819

GCF of Fractions 798/77,819/9153 is 21/704781

3 798, 819
7 266, 273
38, 39

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 798,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,819 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 798,819 . The biggest common factor number is the GCF number.
So the greatest common factor 798,819 is 21.

Lets's calculate LCM of 77,9153

Given numbers has no common factors except 1. So, there LCM is their product i.e 704781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/704781

Therefore, the GCF of Fractions 798/77,819/9153 is 21/704781

Least Common Multiple of 77,9153 with GCF Formula

Least Common Multiple of 77,9153 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 77,9153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,9153) = 1

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

GCF(77,9153) x common factors =1 x 1 = 1

LCM(77,9153) = ( 77 × 9153 ) / 1

LCM(77,9153) = 704781 / 1

LCM(77,9153) = 704781


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 798/77, 819/9153

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 798/77, 819/9153?

Answer: GCF of Numerators as per given numbers 798/77, 819/9153 is

GCF of Numerators i.e. for 798,819 is 21

LCM of denominators i.e. for 77,9153 is 704781.

Thus, GCF of Fractions is 21/704781.Finally, GCF of Fractions for 798/77, 819/9153 is 21/704781.