Greatest Common Factor of 788/271, 405/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 788/271, 405/130

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 788/271,405/130

Given fractions are 788/271,405/130

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 788,405

Greatest Common Factor of Numerators i.e. GCF of 788,405 is 1 .

LCM of Denominators means LCM of 271,130 as per the given fractions.

LCM of 271,130 is 35230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 788,405

GCF of Fractions 788/271,405/130 is 1/35230

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

Greatest Common Factor of 788,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,405 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 788,405 . The biggest common factor number is the GCF number.
So the greatest common factor 788,405 is 1.

Lets's calculate LCM of 271,130

Given numbers has no common factors except 1. So, there LCM is their product i.e 35230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35230

Therefore, the GCF of Fractions 788/271,405/130 is 1/35230

Least Common Multiple of 271,130 with GCF Formula

Least Common Multiple of 271,130 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 271,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,130) = 1

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

GCF(271,130) x common factors =1 x 1 = 1

LCM(271,130) = ( 271 × 130 ) / 1

LCM(271,130) = 35230 / 1

LCM(271,130) = 35230


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 788/271, 405/130

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 788/271, 405/130?

Answer: GCF of Numerators as per given numbers 788/271, 405/130 is

GCF of Numerators i.e. for 788,405 is 1

LCM of denominators i.e. for 271,130 is 35230.

Thus, GCF of Fractions is 1/35230.Finally, GCF of Fractions for 788/271, 405/130 is 1/35230.