Greatest Common Factor of 3955/271, 2002/8662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3955/271, 2002/8662

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 3955/271,2002/8662

Given fractions are 3955/271,2002/8662

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 3955,2002

Greatest Common Factor of Numerators i.e. GCF of 3955,2002 is 7 .

LCM of Denominators means LCM of 271,8662 as per the given fractions.

LCM of 271,8662 is 2347402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3955,2002

GCF of Fractions 3955/271,2002/8662 is 7/2347402

7 3955, 2002
565, 286

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3955,2002 By Matching Biggest Common Factor Method

Greatest Common Factor of 3955,2002 By Matching Biggest Common Factor Method

Factors of 3955

List of positive integer factors of 3955 that divides 3955 without a remainder.

1,5,7,35,113,565,791,3955

Factors of 2002

List of positive integer factors of 2002 that divides 2002 without a remainder.

1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002

Greatest Common Factor

We found the factors 3955,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 3955,2002 is 7.

Lets's calculate LCM of 271,8662

Given numbers has no common factors except 1. So, there LCM is their product i.e 2347402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2347402

Therefore, the GCF of Fractions 3955/271,2002/8662 is 7/2347402

Least Common Multiple of 271,8662 with GCF Formula

Least Common Multiple of 271,8662 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 271,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,8662) = 1

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

GCF(271,8662) x common factors =1 x 1 = 1

LCM(271,8662) = ( 271 × 8662 ) / 1

LCM(271,8662) = 2347402 / 1

LCM(271,8662) = 2347402


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 3955/271, 2002/8662

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 3955/271, 2002/8662?

Answer: GCF of Numerators as per given numbers 3955/271, 2002/8662 is

GCF of Numerators i.e. for 3955,2002 is 7

LCM of denominators i.e. for 271,8662 is 2347402.

Thus, GCF of Fractions is 7/2347402.Finally, GCF of Fractions for 3955/271, 2002/8662 is 7/2347402.