Greatest Common Factor of 5688/182, 2240/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5688/182, 2240/663

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 5688/182,2240/663

Given fractions are 5688/182,2240/663

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 5688,2240

Greatest Common Factor of Numerators i.e. GCF of 5688,2240 is 8 .

LCM of Denominators means LCM of 182,663 as per the given fractions.

LCM of 182,663 is 9282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5688,2240

GCF of Fractions 5688/182,2240/663 is 8/9282

2 5688, 2240
2 2844, 1120
2 1422, 560
711, 280

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5688,2240 By Matching Biggest Common Factor Method

Greatest Common Factor of 5688,2240 By Matching Biggest Common Factor Method

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Factors of 2240

List of positive integer factors of 2240 that divides 2240 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240

Greatest Common Factor

We found the factors 5688,2240 . The biggest common factor number is the GCF number.
So the greatest common factor 5688,2240 is 8.

Lets's calculate LCM of 182,663

13 182, 663
14, 51

∴ So the LCM of the given numbers is 13 x 14 x 51 = 9282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/9282

Therefore, the GCF of Fractions 5688/182,2240/663 is 8/9282

Least Common Multiple of 182,663 with GCF Formula

Least Common Multiple of 182,663 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 182,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,663) = 13

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

GCF(182,663) x common factors =13 x 1 = 13

LCM(182,663) = ( 182 × 663 ) / 13

LCM(182,663) = 120666 / 13

LCM(182,663) = 9282


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 5688/182, 2240/663

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 5688/182, 2240/663?

Answer: GCF of Numerators as per given numbers 5688/182, 2240/663 is

GCF of Numerators i.e. for 5688,2240 is 8

LCM of denominators i.e. for 182,663 is 9282.

Thus, GCF of Fractions is 8/9282.Finally, GCF of Fractions for 5688/182, 2240/663 is 8/9282.