Greatest Common Factor of 4004/281, 4027/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4004/281, 4027/708

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 4004/281,4027/708

Given fractions are 4004/281,4027/708

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 4004,4027

Greatest Common Factor of Numerators i.e. GCF of 4004,4027 is 1 .

LCM of Denominators means LCM of 281,708 as per the given fractions.

LCM of 281,708 is 198948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4004,4027

GCF of Fractions 4004/281,4027/708 is 1/198948

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

Greatest Common Factor of 4004,4027 By Matching Biggest Common Factor Method

Greatest Common Factor of 4004,4027 By Matching Biggest Common Factor Method

Factors of 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Factors of 4027

List of positive integer factors of 4027 that divides 4027 without a remainder.

1,4027

Greatest Common Factor

We found the factors 4004,4027 . The biggest common factor number is the GCF number.
So the greatest common factor 4004,4027 is 1.

Lets's calculate LCM of 281,708

Given numbers has no common factors except 1. So, there LCM is their product i.e 198948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198948

Therefore, the GCF of Fractions 4004/281,4027/708 is 1/198948

Least Common Multiple of 281,708 with GCF Formula

Least Common Multiple of 281,708 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 281,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,708) = 1

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

GCF(281,708) x common factors =1 x 1 = 1

LCM(281,708) = ( 281 × 708 ) / 1

LCM(281,708) = 198948 / 1

LCM(281,708) = 198948


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 4004/281, 4027/708

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 4004/281, 4027/708?

Answer: GCF of Numerators as per given numbers 4004/281, 4027/708 is

GCF of Numerators i.e. for 4004,4027 is 1

LCM of denominators i.e. for 281,708 is 198948.

Thus, GCF of Fractions is 1/198948.Finally, GCF of Fractions for 4004/281, 4027/708 is 1/198948.