Greatest Common Factor of 5616/217, 5684/2002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5616/217, 5684/2002

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 5616/217,5684/2002

Given fractions are 5616/217,5684/2002

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 5616,5684

Greatest Common Factor of Numerators i.e. GCF of 5616,5684 is 4 .

LCM of Denominators means LCM of 217,2002 as per the given fractions.

LCM of 217,2002 is 62062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5616,5684

GCF of Fractions 5616/217,5684/2002 is 4/62062

2 5616, 5684
2 2808, 2842
1404, 1421

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5616,5684 By Matching Biggest Common Factor Method

Greatest Common Factor of 5616,5684 By Matching Biggest Common Factor Method

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Factors of 5684

List of positive integer factors of 5684 that divides 5684 without a remainder.

1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684

Greatest Common Factor

We found the factors 5616,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 5616,5684 is 4.

Lets's calculate LCM of 217,2002

7 217, 2002
31, 286

∴ So the LCM of the given numbers is 7 x 31 x 286 = 62062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62062

Therefore, the GCF of Fractions 5616/217,5684/2002 is 4/62062

Least Common Multiple of 217,2002 with GCF Formula

Least Common Multiple of 217,2002 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 217,2002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,2002) = 7

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

GCF(217,2002) x common factors =7 x 1 = 7

LCM(217,2002) = ( 217 × 2002 ) / 7

LCM(217,2002) = 434434 / 7

LCM(217,2002) = 62062


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 5616/217, 5684/2002

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 5616/217, 5684/2002?

Answer: GCF of Numerators as per given numbers 5616/217, 5684/2002 is

GCF of Numerators i.e. for 5616,5684 is 4

LCM of denominators i.e. for 217,2002 is 62062.

Thus, GCF of Fractions is 4/62062.Finally, GCF of Fractions for 5616/217, 5684/2002 is 4/62062.