Greatest Common Factor of 1587/86, 4745/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1587/86, 4745/944

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 1587/86,4745/944

Given fractions are 1587/86,4745/944

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 1587,4745

Greatest Common Factor of Numerators i.e. GCF of 1587,4745 is 1 .

LCM of Denominators means LCM of 86,944 as per the given fractions.

LCM of 86,944 is 40592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1587,4745

GCF of Fractions 1587/86,4745/944 is 1/40592

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

Greatest Common Factor of 1587,4745 By Matching Biggest Common Factor Method

Greatest Common Factor of 1587,4745 By Matching Biggest Common Factor Method

Factors of 1587

List of positive integer factors of 1587 that divides 1587 without a remainder.

1,3,23,69,529,1587

Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1,5,13,65,73,365,949,4745

Greatest Common Factor

We found the factors 1587,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 1587,4745 is 1.

Lets's calculate LCM of 86,944

2 86, 944
43, 472

∴ So the LCM of the given numbers is 2 x 43 x 472 = 40592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40592

Therefore, the GCF of Fractions 1587/86,4745/944 is 1/40592

Least Common Multiple of 86,944 with GCF Formula

Least Common Multiple of 86,944 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 86,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,944) = 2

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

GCF(86,944) x common factors =2 x 1 = 2

LCM(86,944) = ( 86 × 944 ) / 2

LCM(86,944) = 81184 / 2

LCM(86,944) = 40592


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 1587/86, 4745/944

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 1587/86, 4745/944?

Answer: GCF of Numerators as per given numbers 1587/86, 4745/944 is

GCF of Numerators i.e. for 1587,4745 is 1

LCM of denominators i.e. for 86,944 is 40592.

Thus, GCF of Fractions is 1/40592.Finally, GCF of Fractions for 1587/86, 4745/944 is 1/40592.