Greatest Common Factor of 2315/865, 4267/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2315/865, 4267/970

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 2315/865,4267/970

Given fractions are 2315/865,4267/970

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 2315,4267

Greatest Common Factor of Numerators i.e. GCF of 2315,4267 is 1 .

LCM of Denominators means LCM of 865,970 as per the given fractions.

LCM of 865,970 is 167810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2315,4267

GCF of Fractions 2315/865,4267/970 is 1/167810

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

Greatest Common Factor of 2315,4267 By Matching Biggest Common Factor Method

Greatest Common Factor of 2315,4267 By Matching Biggest Common Factor Method

Factors of 2315

List of positive integer factors of 2315 that divides 2315 without a remainder.

1,5,463,2315

Factors of 4267

List of positive integer factors of 4267 that divides 4267 without a remainder.

1,17,251,4267

Greatest Common Factor

We found the factors 2315,4267 . The biggest common factor number is the GCF number.
So the greatest common factor 2315,4267 is 1.

Lets's calculate LCM of 865,970

5 865, 970
173, 194

∴ So the LCM of the given numbers is 5 x 173 x 194 = 167810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167810

Therefore, the GCF of Fractions 2315/865,4267/970 is 1/167810

Least Common Multiple of 865,970 with GCF Formula

Least Common Multiple of 865,970 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 865,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,970) = 5

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

GCF(865,970) x common factors =5 x 1 = 5

LCM(865,970) = ( 865 × 970 ) / 5

LCM(865,970) = 839050 / 5

LCM(865,970) = 167810


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 2315/865, 4267/970

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 2315/865, 4267/970?

Answer: GCF of Numerators as per given numbers 2315/865, 4267/970 is

GCF of Numerators i.e. for 2315,4267 is 1

LCM of denominators i.e. for 865,970 is 167810.

Thus, GCF of Fractions is 1/167810.Finally, GCF of Fractions for 2315/865, 4267/970 is 1/167810.