Greatest Common Factor of 5639/388, 1997/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5639/388, 1997/260

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 5639/388,1997/260

Given fractions are 5639/388,1997/260

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 5639,1997

Greatest Common Factor of Numerators i.e. GCF of 5639,1997 is 1 .

LCM of Denominators means LCM of 388,260 as per the given fractions.

LCM of 388,260 is 25220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5639,1997

GCF of Fractions 5639/388,1997/260 is 1/25220

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

Greatest Common Factor of 5639,1997 By Matching Biggest Common Factor Method

Greatest Common Factor of 5639,1997 By Matching Biggest Common Factor Method

Factors of 5639

List of positive integer factors of 5639 that divides 5639 without a remainder.

1,5639

Factors of 1997

List of positive integer factors of 1997 that divides 1997 without a remainder.

1,1997

Greatest Common Factor

We found the factors 5639,1997 . The biggest common factor number is the GCF number.
So the greatest common factor 5639,1997 is 1.

Lets's calculate LCM of 388,260

2 388, 260
2 194, 130
97, 65

∴ So the LCM of the given numbers is 2 x 2 x 97 x 65 = 25220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25220

Therefore, the GCF of Fractions 5639/388,1997/260 is 1/25220

Least Common Multiple of 388,260 with GCF Formula

Least Common Multiple of 388,260 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 388,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,260) = 4

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

GCF(388,260) x common factors =4 x 1 = 4

LCM(388,260) = ( 388 × 260 ) / 4

LCM(388,260) = 100880 / 4

LCM(388,260) = 25220


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 5639/388, 1997/260

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 5639/388, 1997/260?

Answer: GCF of Numerators as per given numbers 5639/388, 1997/260 is

GCF of Numerators i.e. for 5639,1997 is 1

LCM of denominators i.e. for 388,260 is 25220.

Thus, GCF of Fractions is 1/25220.Finally, GCF of Fractions for 5639/388, 1997/260 is 1/25220.