Greatest Common Factor of 987/25, 220/58, 513/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/25, 220/58, 513/448

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 987/25,220/58,513/448

Given fractions are 987/25,220/58,513/448

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 987,220,513

Greatest Common Factor of Numerators i.e. GCF of 987,220,513 is 1 .

LCM of Denominators means LCM of 25,58,448 as per the given fractions.

LCM of 25,58,448 is 324800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,220,513

GCF of Fractions 987/25,220/58,513/448 is 1/324800

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

Greatest Common Factor of 987,220,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,220,513 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 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 987,220,513 . The biggest common factor number is the GCF number.
So the greatest common factor 987,220,513 is 1.

Lets's calculate LCM of 25,58,448

2 25, 58, 448
25, 29, 224

∴ So the LCM of the given numbers is 2 x 25 x 29 x 224 = 324800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324800

Therefore, the GCF of Fractions 987/25,220/58,513/448 is 1/324800

Least Common Multiple of 25,58,448 with GCF Formula

Least Common Multiple of 25,58,448 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 25,58,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,58,448) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(25,58,448) x common factors =1 x 2 = 2

LCM(25,58,448) = ( 25 × 58 × 448 ) / 2

LCM(25,58,448) = 649600 / 2

LCM(25,58,448) = 324800


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 987/25, 220/58, 513/448

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 987/25, 220/58, 513/448?

Answer: GCF of Numerators as per given numbers 987/25, 220/58, 513/448 is

GCF of Numerators i.e. for 987,220,513 is 1

LCM of denominators i.e. for 25,58,448 is 324800.

Thus, GCF of Fractions is 1/324800.Finally, GCF of Fractions for 987/25, 220/58, 513/448 is 1/324800.