Greatest Common Factor of 5686/38, 5220/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5686/38, 5220/253

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 5686/38,5220/253

Given fractions are 5686/38,5220/253

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 5686,5220

Greatest Common Factor of Numerators i.e. GCF of 5686,5220 is 2 .

LCM of Denominators means LCM of 38,253 as per the given fractions.

LCM of 38,253 is 9614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5686,5220

GCF of Fractions 5686/38,5220/253 is 2/9614

2 5686, 5220
2843, 2610

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

Greatest Common Factor of 5686,5220 By Matching Biggest Common Factor Method

Greatest Common Factor of 5686,5220 By Matching Biggest Common Factor Method

Factors of 5686

List of positive integer factors of 5686 that divides 5686 without a remainder.

1,2,2843,5686

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Greatest Common Factor

We found the factors 5686,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 5686,5220 is 2.

Lets's calculate LCM of 38,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 9614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9614

Therefore, the GCF of Fractions 5686/38,5220/253 is 2/9614

Least Common Multiple of 38,253 with GCF Formula

Least Common Multiple of 38,253 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 38,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,253) = 1

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

GCF(38,253) x common factors =1 x 1 = 1

LCM(38,253) = ( 38 × 253 ) / 1

LCM(38,253) = 9614 / 1

LCM(38,253) = 9614


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 5686/38, 5220/253

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 5686/38, 5220/253?

Answer: GCF of Numerators as per given numbers 5686/38, 5220/253 is

GCF of Numerators i.e. for 5686,5220 is 2

LCM of denominators i.e. for 38,253 is 9614.

Thus, GCF of Fractions is 2/9614.Finally, GCF of Fractions for 5686/38, 5220/253 is 2/9614.