Greatest Common Factor of 4003/172, 2962/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4003/172, 2962/521

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 4003/172,2962/521

Given fractions are 4003/172,2962/521

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 4003,2962

Greatest Common Factor of Numerators i.e. GCF of 4003,2962 is 1 .

LCM of Denominators means LCM of 172,521 as per the given fractions.

LCM of 172,521 is 89612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4003,2962

GCF of Fractions 4003/172,2962/521 is 1/89612

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

Greatest Common Factor of 4003,2962 By Matching Biggest Common Factor Method

Greatest Common Factor of 4003,2962 By Matching Biggest Common Factor Method

Factors of 4003

List of positive integer factors of 4003 that divides 4003 without a remainder.

1,4003

Factors of 2962

List of positive integer factors of 2962 that divides 2962 without a remainder.

1,2,1481,2962

Greatest Common Factor

We found the factors 4003,2962 . The biggest common factor number is the GCF number.
So the greatest common factor 4003,2962 is 1.

Lets's calculate LCM of 172,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 89612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89612

Therefore, the GCF of Fractions 4003/172,2962/521 is 1/89612

Least Common Multiple of 172,521 with GCF Formula

Least Common Multiple of 172,521 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 172,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,521) = 1

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

GCF(172,521) x common factors =1 x 1 = 1

LCM(172,521) = ( 172 × 521 ) / 1

LCM(172,521) = 89612 / 1

LCM(172,521) = 89612


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 4003/172, 2962/521

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 4003/172, 2962/521?

Answer: GCF of Numerators as per given numbers 4003/172, 2962/521 is

GCF of Numerators i.e. for 4003,2962 is 1

LCM of denominators i.e. for 172,521 is 89612.

Thus, GCF of Fractions is 1/89612.Finally, GCF of Fractions for 4003/172, 2962/521 is 1/89612.