Greatest Common Factor of 317/731, 1578/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/731, 1578/105

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 317/731,1578/105

Given fractions are 317/731,1578/105

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 317,1578

Greatest Common Factor of Numerators i.e. GCF of 317,1578 is 1 .

LCM of Denominators means LCM of 731,105 as per the given fractions.

LCM of 731,105 is 76755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,1578

GCF of Fractions 317/731,1578/105 is 1/76755

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

Greatest Common Factor of 317,1578 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,1578 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 1578

List of positive integer factors of 1578 that divides 1578 without a remainder.

1,2,3,6,263,526,789,1578

Greatest Common Factor

We found the factors 317,1578 . The biggest common factor number is the GCF number.
So the greatest common factor 317,1578 is 1.

Lets's calculate LCM of 731,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 76755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76755

Therefore, the GCF of Fractions 317/731,1578/105 is 1/76755

Least Common Multiple of 731,105 with GCF Formula

Least Common Multiple of 731,105 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 731,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,105) = 1

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

GCF(731,105) x common factors =1 x 1 = 1

LCM(731,105) = ( 731 × 105 ) / 1

LCM(731,105) = 76755 / 1

LCM(731,105) = 76755


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 317/731, 1578/105

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 317/731, 1578/105?

Answer: GCF of Numerators as per given numbers 317/731, 1578/105 is

GCF of Numerators i.e. for 317,1578 is 1

LCM of denominators i.e. for 731,105 is 76755.

Thus, GCF of Fractions is 1/76755.Finally, GCF of Fractions for 317/731, 1578/105 is 1/76755.