Greatest Common Factor of 5087/490, 4002/5668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5087/490, 4002/5668

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 5087/490,4002/5668

Given fractions are 5087/490,4002/5668

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 5087,4002

Greatest Common Factor of Numerators i.e. GCF of 5087,4002 is 1 .

LCM of Denominators means LCM of 490,5668 as per the given fractions.

LCM of 490,5668 is 1388660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5087,4002

GCF of Fractions 5087/490,4002/5668 is 1/1388660

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

Greatest Common Factor of 5087,4002 By Matching Biggest Common Factor Method

Greatest Common Factor of 5087,4002 By Matching Biggest Common Factor Method

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1,5087

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

Greatest Common Factor

We found the factors 5087,4002 . The biggest common factor number is the GCF number.
So the greatest common factor 5087,4002 is 1.


Lets's calculate LCM of 490,5668

2 490, 5668
245, 2834

∴ So the LCM of the given numbers is 2 x 245 x 2834 = 1388660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1388660

Therefore, the GCF of Fractions 5087/490,4002/5668 is 1/1388660

Least Common Multiple of 490,5668 with GCF Formula

Least Common Multiple of 490,5668 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 490,5668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,5668) = 2

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

GCF(490,5668) x common factors =2 x 1 = 2

LCM(490,5668) = ( 490 × 5668 ) / 2

LCM(490,5668) = 2777320 / 2

LCM(490,5668) = 1388660


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5087/490, 4002/5668

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 5087/490, 4002/5668?

Answer: GCF of Numerators as per given numbers 5087/490, 4002/5668 is

GCF of Numerators i.e. for 5087,4002 is 1

LCM of denominators i.e. for 490,5668 is 1388660.

Thus, GCF of Fractions is 1/1388660.Finally, GCF of Fractions for 5087/490, 4002/5668 is 1/1388660.