Greatest Common Factor of 387/48, 602/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 387/48, 602/287

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 387/48,602/287

Given fractions are 387/48,602/287

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 387,602

Greatest Common Factor of Numerators i.e. GCF of 387,602 is 43 .

LCM of Denominators means LCM of 48,287 as per the given fractions.

LCM of 48,287 is 13776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 387,602

GCF of Fractions 387/48,602/287 is 43/13776

43 387, 602
9, 14

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 387,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,602 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 387,602 . The biggest common factor number is the GCF number.
So the greatest common factor 387,602 is 43.

Lets's calculate LCM of 48,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 13776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/13776

Therefore, the GCF of Fractions 387/48,602/287 is 43/13776

Least Common Multiple of 48,287 with GCF Formula

Least Common Multiple of 48,287 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 48,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,287) = 1

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

GCF(48,287) x common factors =1 x 1 = 1

LCM(48,287) = ( 48 × 287 ) / 1

LCM(48,287) = 13776 / 1

LCM(48,287) = 13776


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 387/48, 602/287

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 387/48, 602/287?

Answer: GCF of Numerators as per given numbers 387/48, 602/287 is

GCF of Numerators i.e. for 387,602 is 43

LCM of denominators i.e. for 48,287 is 13776.

Thus, GCF of Fractions is 43/13776.Finally, GCF of Fractions for 387/48, 602/287 is 43/13776.