Greatest Common Factor of 1267/570, 6085/2271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1267/570, 6085/2271

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 1267/570,6085/2271

Given fractions are 1267/570,6085/2271

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 1267,6085

Greatest Common Factor of Numerators i.e. GCF of 1267,6085 is 1 .

LCM of Denominators means LCM of 570,2271 as per the given fractions.

LCM of 570,2271 is 431490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1267,6085

GCF of Fractions 1267/570,6085/2271 is 1/431490

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

Greatest Common Factor of 1267,6085 By Matching Biggest Common Factor Method

Greatest Common Factor of 1267,6085 By Matching Biggest Common Factor Method

Factors of 1267

List of positive integer factors of 1267 that divides 1267 without a remainder.

1,7,181,1267

Factors of 6085

List of positive integer factors of 6085 that divides 6085 without a remainder.

1,5,1217,6085

Greatest Common Factor

We found the factors 1267,6085 . The biggest common factor number is the GCF number.
So the greatest common factor 1267,6085 is 1.

Lets's calculate LCM of 570,2271

3 570, 2271
190, 757

∴ So the LCM of the given numbers is 3 x 190 x 757 = 431490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431490

Therefore, the GCF of Fractions 1267/570,6085/2271 is 1/431490

Least Common Multiple of 570,2271 with GCF Formula

Least Common Multiple of 570,2271 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 570,2271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,2271) = 3

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

GCF(570,2271) x common factors =3 x 1 = 3

LCM(570,2271) = ( 570 × 2271 ) / 3

LCM(570,2271) = 1294470 / 3

LCM(570,2271) = 431490


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 1267/570, 6085/2271

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 1267/570, 6085/2271?

Answer: GCF of Numerators as per given numbers 1267/570, 6085/2271 is

GCF of Numerators i.e. for 1267,6085 is 1

LCM of denominators i.e. for 570,2271 is 431490.

Thus, GCF of Fractions is 1/431490.Finally, GCF of Fractions for 1267/570, 6085/2271 is 1/431490.