Greatest Common Factor of 4002/535, 3908/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4002/535, 3908/979

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 4002/535,3908/979

Given fractions are 4002/535,3908/979

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 4002,3908

Greatest Common Factor of Numerators i.e. GCF of 4002,3908 is 2 .

LCM of Denominators means LCM of 535,979 as per the given fractions.

LCM of 535,979 is 523765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4002,3908

GCF of Fractions 4002/535,3908/979 is 2/523765

2 4002, 3908
2001, 1954

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4002,3908 By Matching Biggest Common Factor Method

Greatest Common Factor of 4002,3908 By Matching Biggest Common Factor Method

Factors of 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002

Factors of 3908

List of positive integer factors of 3908 that divides 3908 without a remainder.

1,2,4,977,1954,3908

Greatest Common Factor

We found the factors 4002,3908 . The biggest common factor number is the GCF number.
So the greatest common factor 4002,3908 is 2.

Lets's calculate LCM of 535,979

Given numbers has no common factors except 1. So, there LCM is their product i.e 523765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/523765

Therefore, the GCF of Fractions 4002/535,3908/979 is 2/523765

Least Common Multiple of 535,979 with GCF Formula

Least Common Multiple of 535,979 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 535,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,979) = 1

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

GCF(535,979) x common factors =1 x 1 = 1

LCM(535,979) = ( 535 × 979 ) / 1

LCM(535,979) = 523765 / 1

LCM(535,979) = 523765


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 4002/535, 3908/979

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 4002/535, 3908/979?

Answer: GCF of Numerators as per given numbers 4002/535, 3908/979 is

GCF of Numerators i.e. for 4002,3908 is 2

LCM of denominators i.e. for 535,979 is 523765.

Thus, GCF of Fractions is 2/523765.Finally, GCF of Fractions for 4002/535, 3908/979 is 2/523765.