Greatest Common Factor of 125/17, 4436/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/17, 4436/571

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 125/17,4436/571

Given fractions are 125/17,4436/571

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 125,4436

Greatest Common Factor of Numerators i.e. GCF of 125,4436 is 1 .

LCM of Denominators means LCM of 17,571 as per the given fractions.

LCM of 17,571 is 9707 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,4436

GCF of Fractions 125/17,4436/571 is 1/9707

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

Greatest Common Factor of 125,4436 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,4436 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 4436

List of positive integer factors of 4436 that divides 4436 without a remainder.

1,2,4,1109,2218,4436

Greatest Common Factor

We found the factors 125,4436 . The biggest common factor number is the GCF number.
So the greatest common factor 125,4436 is 1.

Lets's calculate LCM of 17,571

Given numbers has no common factors except 1. So, there LCM is their product i.e 9707

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9707

Therefore, the GCF of Fractions 125/17,4436/571 is 1/9707

Least Common Multiple of 17,571 with GCF Formula

Least Common Multiple of 17,571 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 17,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,571) = 1

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

GCF(17,571) x common factors =1 x 1 = 1

LCM(17,571) = ( 17 × 571 ) / 1

LCM(17,571) = 9707 / 1

LCM(17,571) = 9707


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 125/17, 4436/571

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 125/17, 4436/571?

Answer: GCF of Numerators as per given numbers 125/17, 4436/571 is

GCF of Numerators i.e. for 125,4436 is 1

LCM of denominators i.e. for 17,571 is 9707.

Thus, GCF of Fractions is 1/9707.Finally, GCF of Fractions for 125/17, 4436/571 is 1/9707.