Greatest Common Factor of 85/80, 78/30, 813/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/80, 78/30, 813/859

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 85/80,78/30,813/859

Given fractions are 85/80,78/30,813/859

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 85,78,813

Greatest Common Factor of Numerators i.e. GCF of 85,78,813 is 1 .

LCM of Denominators means LCM of 80,30,859 as per the given fractions.

LCM of 80,30,859 is 206160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,78,813

GCF of Fractions 85/80,78/30,813/859 is 1/206160

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

Greatest Common Factor of 85,78,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,78,813 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 85,78,813 . The biggest common factor number is the GCF number.
So the greatest common factor 85,78,813 is 1.

Lets's calculate LCM of 80,30,859

2 80, 30, 859
5 40, 15, 859
8, 3, 859

∴ So the LCM of the given numbers is 2 x 5 x 8 x 3 x 859 = 206160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206160

Therefore, the GCF of Fractions 85/80,78/30,813/859 is 1/206160

Least Common Multiple of 80,30,859 with GCF Formula

Least Common Multiple of 80,30,859 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 80,30,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,30,859) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(80,30,859) x common factors =1 x 10 = 10

LCM(80,30,859) = ( 80 × 30 × 859 ) / 10

LCM(80,30,859) = 2061600 / 10

LCM(80,30,859) = 206160


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 85/80, 78/30, 813/859

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 85/80, 78/30, 813/859?

Answer: GCF of Numerators as per given numbers 85/80, 78/30, 813/859 is

GCF of Numerators i.e. for 85,78,813 is 1

LCM of denominators i.e. for 80,30,859 is 206160.

Thus, GCF of Fractions is 1/206160.Finally, GCF of Fractions for 85/80, 78/30, 813/859 is 1/206160.