Greatest Common Factor of 286/607, 1155/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/607, 1155/285

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 286/607,1155/285

Given fractions are 286/607,1155/285

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 286,1155

Greatest Common Factor of Numerators i.e. GCF of 286,1155 is 11 .

LCM of Denominators means LCM of 607,285 as per the given fractions.

LCM of 607,285 is 172995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,1155

GCF of Fractions 286/607,1155/285 is 11/172995

11 286, 1155
26, 105

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 286,1155 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,1155 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155

Greatest Common Factor

We found the factors 286,1155 . The biggest common factor number is the GCF number.
So the greatest common factor 286,1155 is 11.

Lets's calculate LCM of 607,285

Given numbers has no common factors except 1. So, there LCM is their product i.e 172995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/172995

Therefore, the GCF of Fractions 286/607,1155/285 is 11/172995

Least Common Multiple of 607,285 with GCF Formula

Least Common Multiple of 607,285 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 607,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,285) = 1

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

GCF(607,285) x common factors =1 x 1 = 1

LCM(607,285) = ( 607 × 285 ) / 1

LCM(607,285) = 172995 / 1

LCM(607,285) = 172995


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 286/607, 1155/285

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 286/607, 1155/285?

Answer: GCF of Numerators as per given numbers 286/607, 1155/285 is

GCF of Numerators i.e. for 286,1155 is 11

LCM of denominators i.e. for 607,285 is 172995.

Thus, GCF of Fractions is 11/172995.Finally, GCF of Fractions for 286/607, 1155/285 is 11/172995.