Greatest Common Factor of 2857/310, 9235/1272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2857/310, 9235/1272

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 2857/310,9235/1272

Given fractions are 2857/310,9235/1272

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 2857,9235

Greatest Common Factor of Numerators i.e. GCF of 2857,9235 is 1 .

LCM of Denominators means LCM of 310,1272 as per the given fractions.

LCM of 310,1272 is 197160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2857,9235

GCF of Fractions 2857/310,9235/1272 is 1/197160

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

Greatest Common Factor of 2857,9235 By Matching Biggest Common Factor Method

Greatest Common Factor of 2857,9235 By Matching Biggest Common Factor Method

Factors of 2857

List of positive integer factors of 2857 that divides 2857 without a remainder.

1,2857

Factors of 9235

List of positive integer factors of 9235 that divides 9235 without a remainder.

1,5,1847,9235

Greatest Common Factor

We found the factors 2857,9235 . The biggest common factor number is the GCF number.
So the greatest common factor 2857,9235 is 1.

Lets's calculate LCM of 310,1272

2 310, 1272
155, 636

∴ So the LCM of the given numbers is 2 x 155 x 636 = 197160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197160

Therefore, the GCF of Fractions 2857/310,9235/1272 is 1/197160

Least Common Multiple of 310,1272 with GCF Formula

Least Common Multiple of 310,1272 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 310,1272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,1272) = 2

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

GCF(310,1272) x common factors =2 x 1 = 2

LCM(310,1272) = ( 310 × 1272 ) / 2

LCM(310,1272) = 394320 / 2

LCM(310,1272) = 197160


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 2857/310, 9235/1272

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 2857/310, 9235/1272?

Answer: GCF of Numerators as per given numbers 2857/310, 9235/1272 is

GCF of Numerators i.e. for 2857,9235 is 1

LCM of denominators i.e. for 310,1272 is 197160.

Thus, GCF of Fractions is 1/197160.Finally, GCF of Fractions for 2857/310, 9235/1272 is 1/197160.