Greatest Common Factor of 77/798, 8184/8795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/798, 8184/8795

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 77/798,8184/8795

Given fractions are 77/798,8184/8795

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 77,8184

Greatest Common Factor of Numerators i.e. GCF of 77,8184 is 11 .

LCM of Denominators means LCM of 798,8795 as per the given fractions.

LCM of 798,8795 is 7018410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,8184

GCF of Fractions 77/798,8184/8795 is 11/7018410

11 77, 8184
7, 744

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 77,8184 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,8184 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Greatest Common Factor

We found the factors 77,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 77,8184 is 11.

Lets's calculate LCM of 798,8795

Given numbers has no common factors except 1. So, there LCM is their product i.e 7018410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7018410

Therefore, the GCF of Fractions 77/798,8184/8795 is 11/7018410

Least Common Multiple of 798,8795 with GCF Formula

Least Common Multiple of 798,8795 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 798,8795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,8795) = 1

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

GCF(798,8795) x common factors =1 x 1 = 1

LCM(798,8795) = ( 798 × 8795 ) / 1

LCM(798,8795) = 7018410 / 1

LCM(798,8795) = 7018410


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 77/798, 8184/8795

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 77/798, 8184/8795?

Answer: GCF of Numerators as per given numbers 77/798, 8184/8795 is

GCF of Numerators i.e. for 77,8184 is 11

LCM of denominators i.e. for 798,8795 is 7018410.

Thus, GCF of Fractions is 11/7018410.Finally, GCF of Fractions for 77/798, 8184/8795 is 11/7018410.