Greatest Common Factor of 1018/384, 2587/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1018/384, 2587/153

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 1018/384,2587/153

Given fractions are 1018/384,2587/153

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 1018,2587

Greatest Common Factor of Numerators i.e. GCF of 1018,2587 is 1 .

LCM of Denominators means LCM of 384,153 as per the given fractions.

LCM of 384,153 is 19584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1018,2587

GCF of Fractions 1018/384,2587/153 is 1/19584

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

Greatest Common Factor of 1018,2587 By Matching Biggest Common Factor Method

Greatest Common Factor of 1018,2587 By Matching Biggest Common Factor Method

Factors of 1018

List of positive integer factors of 1018 that divides 1018 without a remainder.

1,2,509,1018

Factors of 2587

List of positive integer factors of 2587 that divides 2587 without a remainder.

1,13,199,2587

Greatest Common Factor

We found the factors 1018,2587 . The biggest common factor number is the GCF number.
So the greatest common factor 1018,2587 is 1.

Lets's calculate LCM of 384,153

3 384, 153
128, 51

∴ So the LCM of the given numbers is 3 x 128 x 51 = 19584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19584

Therefore, the GCF of Fractions 1018/384,2587/153 is 1/19584

Least Common Multiple of 384,153 with GCF Formula

Least Common Multiple of 384,153 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 384,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,153) = 3

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

GCF(384,153) x common factors =3 x 1 = 3

LCM(384,153) = ( 384 × 153 ) / 3

LCM(384,153) = 58752 / 3

LCM(384,153) = 19584


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 1018/384, 2587/153

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 1018/384, 2587/153?

Answer: GCF of Numerators as per given numbers 1018/384, 2587/153 is

GCF of Numerators i.e. for 1018,2587 is 1

LCM of denominators i.e. for 384,153 is 19584.

Thus, GCF of Fractions is 1/19584.Finally, GCF of Fractions for 1018/384, 2587/153 is 1/19584.