Greatest Common Factor of 5620/48, 4189/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5620/48, 4189/522

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 5620/48,4189/522

Given fractions are 5620/48,4189/522

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 5620,4189

Greatest Common Factor of Numerators i.e. GCF of 5620,4189 is 1 .

LCM of Denominators means LCM of 48,522 as per the given fractions.

LCM of 48,522 is 4176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5620,4189

GCF of Fractions 5620/48,4189/522 is 1/4176

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

Greatest Common Factor of 5620,4189 By Matching Biggest Common Factor Method

Greatest Common Factor of 5620,4189 By Matching Biggest Common Factor Method

Factors of 5620

List of positive integer factors of 5620 that divides 5620 without a remainder.

1,2,4,5,10,20,281,562,1124,1405,2810,5620

Factors of 4189

List of positive integer factors of 4189 that divides 4189 without a remainder.

1,59,71,4189

Greatest Common Factor

We found the factors 5620,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 5620,4189 is 1.

Lets's calculate LCM of 48,522

2 48, 522
3 24, 261
8, 87

∴ So the LCM of the given numbers is 2 x 3 x 8 x 87 = 4176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4176

Therefore, the GCF of Fractions 5620/48,4189/522 is 1/4176

Least Common Multiple of 48,522 with GCF Formula

Least Common Multiple of 48,522 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 48,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,522) = 6

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

GCF(48,522) x common factors =6 x 1 = 6

LCM(48,522) = ( 48 × 522 ) / 6

LCM(48,522) = 25056 / 6

LCM(48,522) = 4176


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 5620/48, 4189/522

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 5620/48, 4189/522?

Answer: GCF of Numerators as per given numbers 5620/48, 4189/522 is

GCF of Numerators i.e. for 5620,4189 is 1

LCM of denominators i.e. for 48,522 is 4176.

Thus, GCF of Fractions is 1/4176.Finally, GCF of Fractions for 5620/48, 4189/522 is 1/4176.