Greatest Common Factor of 987/578, 3097/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/578, 3097/288

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 987/578,3097/288

Given fractions are 987/578,3097/288

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 987,3097

Greatest Common Factor of Numerators i.e. GCF of 987,3097 is 1 .

LCM of Denominators means LCM of 578,288 as per the given fractions.

LCM of 578,288 is 83232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,3097

GCF of Fractions 987/578,3097/288 is 1/83232

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

Greatest Common Factor of 987,3097 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,3097 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 3097

List of positive integer factors of 3097 that divides 3097 without a remainder.

1,19,163,3097

Greatest Common Factor

We found the factors 987,3097 . The biggest common factor number is the GCF number.
So the greatest common factor 987,3097 is 1.

Lets's calculate LCM of 578,288

2 578, 288
289, 144

∴ So the LCM of the given numbers is 2 x 289 x 144 = 83232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83232

Therefore, the GCF of Fractions 987/578,3097/288 is 1/83232

Least Common Multiple of 578,288 with GCF Formula

Least Common Multiple of 578,288 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 578,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,288) = 2

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

GCF(578,288) x common factors =2 x 1 = 2

LCM(578,288) = ( 578 × 288 ) / 2

LCM(578,288) = 166464 / 2

LCM(578,288) = 83232


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 987/578, 3097/288

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 987/578, 3097/288?

Answer: GCF of Numerators as per given numbers 987/578, 3097/288 is

GCF of Numerators i.e. for 987,3097 is 1

LCM of denominators i.e. for 578,288 is 83232.

Thus, GCF of Fractions is 1/83232.Finally, GCF of Fractions for 987/578, 3097/288 is 1/83232.