Greatest Common Factor of 20/99, 78/85, 260/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/99, 78/85, 260/401

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 20/99,78/85,260/401

Given fractions are 20/99,78/85,260/401

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 20,78,260

Greatest Common Factor of Numerators i.e. GCF of 20,78,260 is 2 .

LCM of Denominators means LCM of 99,85,401 as per the given fractions.

LCM of 99,85,401 is 3374415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,78,260

GCF of Fractions 20/99,78/85,260/401 is 2/3374415

2 20, 78, 260
10, 39, 130

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 20,78,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,78,260 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 20,78,260 . The biggest common factor number is the GCF number.
So the greatest common factor 20,78,260 is 2.

Lets's calculate LCM of 99,85,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 3374415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3374415

Therefore, the GCF of Fractions 20/99,78/85,260/401 is 2/3374415

Least Common Multiple of 99,85,401 with GCF Formula

Least Common Multiple of 99,85,401 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 99,85,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,85,401) = 1

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

GCF(99,85,401) x common factors =1 x 1 = 1

LCM(99,85,401) = ( 99 × 85 × 401 ) / 1

LCM(99,85,401) = 3374415 / 1

LCM(99,85,401) = 3374415


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 20/99, 78/85, 260/401

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 20/99, 78/85, 260/401?

Answer: GCF of Numerators as per given numbers 20/99, 78/85, 260/401 is

GCF of Numerators i.e. for 20,78,260 is 2

LCM of denominators i.e. for 99,85,401 is 3374415.

Thus, GCF of Fractions is 2/3374415.Finally, GCF of Fractions for 20/99, 78/85, 260/401 is 2/3374415.