Greatest Common Factor of 317/965, 4120/1747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/965, 4120/1747

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 317/965,4120/1747

Given fractions are 317/965,4120/1747

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 317,4120

Greatest Common Factor of Numerators i.e. GCF of 317,4120 is 1 .

LCM of Denominators means LCM of 965,1747 as per the given fractions.

LCM of 965,1747 is 1685855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,4120

GCF of Fractions 317/965,4120/1747 is 1/1685855

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

Greatest Common Factor of 317,4120 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,4120 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 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Greatest Common Factor

We found the factors 317,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 317,4120 is 1.

Lets's calculate LCM of 965,1747

Given numbers has no common factors except 1. So, there LCM is their product i.e 1685855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1685855

Therefore, the GCF of Fractions 317/965,4120/1747 is 1/1685855

Least Common Multiple of 965,1747 with GCF Formula

Least Common Multiple of 965,1747 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 965,1747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,1747) = 1

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

GCF(965,1747) x common factors =1 x 1 = 1

LCM(965,1747) = ( 965 × 1747 ) / 1

LCM(965,1747) = 1685855 / 1

LCM(965,1747) = 1685855


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 317/965, 4120/1747

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 317/965, 4120/1747?

Answer: GCF of Numerators as per given numbers 317/965, 4120/1747 is

GCF of Numerators i.e. for 317,4120 is 1

LCM of denominators i.e. for 965,1747 is 1685855.

Thus, GCF of Fractions is 1/1685855.Finally, GCF of Fractions for 317/965, 4120/1747 is 1/1685855.