Greatest Common Factor of 6199/712, 8420/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6199/712, 8420/289

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 6199/712,8420/289

Given fractions are 6199/712,8420/289

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 6199,8420

Greatest Common Factor of Numerators i.e. GCF of 6199,8420 is 1 .

LCM of Denominators means LCM of 712,289 as per the given fractions.

LCM of 712,289 is 205768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6199,8420

GCF of Fractions 6199/712,8420/289 is 1/205768

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

Greatest Common Factor of 6199,8420 By Matching Biggest Common Factor Method

Greatest Common Factor of 6199,8420 By Matching Biggest Common Factor Method

Factors of 6199

List of positive integer factors of 6199 that divides 6199 without a remainder.

1,6199

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors 6199,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 6199,8420 is 1.

Lets's calculate LCM of 712,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 205768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205768

Therefore, the GCF of Fractions 6199/712,8420/289 is 1/205768

Least Common Multiple of 712,289 with GCF Formula

Least Common Multiple of 712,289 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 712,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,289) = 1

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

GCF(712,289) x common factors =1 x 1 = 1

LCM(712,289) = ( 712 × 289 ) / 1

LCM(712,289) = 205768 / 1

LCM(712,289) = 205768


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 6199/712, 8420/289

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 6199/712, 8420/289?

Answer: GCF of Numerators as per given numbers 6199/712, 8420/289 is

GCF of Numerators i.e. for 6199,8420 is 1

LCM of denominators i.e. for 712,289 is 205768.

Thus, GCF of Fractions is 1/205768.Finally, GCF of Fractions for 6199/712, 8420/289 is 1/205768.