Greatest Common Factor of 199/647, 7437/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 199/647, 7437/104

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 199/647,7437/104

Given fractions are 199/647,7437/104

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 199,7437

Greatest Common Factor of Numerators i.e. GCF of 199,7437 is 1 .

LCM of Denominators means LCM of 647,104 as per the given fractions.

LCM of 647,104 is 67288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 199,7437

GCF of Fractions 199/647,7437/104 is 1/67288

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

Greatest Common Factor of 199,7437 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,7437 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 7437

List of positive integer factors of 7437 that divides 7437 without a remainder.

1,3,37,67,111,201,2479,7437

Greatest Common Factor

We found the factors 199,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 199,7437 is 1.

Lets's calculate LCM of 647,104

Given numbers has no common factors except 1. So, there LCM is their product i.e 67288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67288

Therefore, the GCF of Fractions 199/647,7437/104 is 1/67288

Least Common Multiple of 647,104 with GCF Formula

Least Common Multiple of 647,104 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 647,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,104) = 1

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

GCF(647,104) x common factors =1 x 1 = 1

LCM(647,104) = ( 647 × 104 ) / 1

LCM(647,104) = 67288 / 1

LCM(647,104) = 67288


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 199/647, 7437/104

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 199/647, 7437/104?

Answer: GCF of Numerators as per given numbers 199/647, 7437/104 is

GCF of Numerators i.e. for 199,7437 is 1

LCM of denominators i.e. for 647,104 is 67288.

Thus, GCF of Fractions is 1/67288.Finally, GCF of Fractions for 199/647, 7437/104 is 1/67288.