Greatest Common Factor of 4001/224, 8703/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4001/224, 8703/767

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 4001/224,8703/767

Given fractions are 4001/224,8703/767

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 4001,8703

Greatest Common Factor of Numerators i.e. GCF of 4001,8703 is 1 .

LCM of Denominators means LCM of 224,767 as per the given fractions.

LCM of 224,767 is 171808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4001,8703

GCF of Fractions 4001/224,8703/767 is 1/171808

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

Greatest Common Factor of 4001,8703 By Matching Biggest Common Factor Method

Greatest Common Factor of 4001,8703 By Matching Biggest Common Factor Method

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1,4001

Factors of 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1,3,9,967,2901,8703

Greatest Common Factor

We found the factors 4001,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,8703 is 1.

Lets's calculate LCM of 224,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 171808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171808

Therefore, the GCF of Fractions 4001/224,8703/767 is 1/171808

Least Common Multiple of 224,767 with GCF Formula

Least Common Multiple of 224,767 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 224,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,767) = 1

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

GCF(224,767) x common factors =1 x 1 = 1

LCM(224,767) = ( 224 × 767 ) / 1

LCM(224,767) = 171808 / 1

LCM(224,767) = 171808


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 4001/224, 8703/767

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 4001/224, 8703/767?

Answer: GCF of Numerators as per given numbers 4001/224, 8703/767 is

GCF of Numerators i.e. for 4001,8703 is 1

LCM of denominators i.e. for 224,767 is 171808.

Thus, GCF of Fractions is 1/171808.Finally, GCF of Fractions for 4001/224, 8703/767 is 1/171808.