Greatest Common Factor of 6924/198, 4789/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6924/198, 4789/967

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 6924/198,4789/967

Given fractions are 6924/198,4789/967

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 6924,4789

Greatest Common Factor of Numerators i.e. GCF of 6924,4789 is 1 .

LCM of Denominators means LCM of 198,967 as per the given fractions.

LCM of 198,967 is 191466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6924,4789

GCF of Fractions 6924/198,4789/967 is 1/191466

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

Greatest Common Factor of 6924,4789 By Matching Biggest Common Factor Method

Greatest Common Factor of 6924,4789 By Matching Biggest Common Factor Method

Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1,2,3,4,6,12,577,1154,1731,2308,3462,6924

Factors of 4789

List of positive integer factors of 4789 that divides 4789 without a remainder.

1,4789

Greatest Common Factor

We found the factors 6924,4789 . The biggest common factor number is the GCF number.
So the greatest common factor 6924,4789 is 1.

Lets's calculate LCM of 198,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 191466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191466

Therefore, the GCF of Fractions 6924/198,4789/967 is 1/191466

Least Common Multiple of 198,967 with GCF Formula

Least Common Multiple of 198,967 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 198,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,967) = 1

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

GCF(198,967) x common factors =1 x 1 = 1

LCM(198,967) = ( 198 × 967 ) / 1

LCM(198,967) = 191466 / 1

LCM(198,967) = 191466


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 6924/198, 4789/967

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 6924/198, 4789/967?

Answer: GCF of Numerators as per given numbers 6924/198, 4789/967 is

GCF of Numerators i.e. for 6924,4789 is 1

LCM of denominators i.e. for 198,967 is 191466.

Thus, GCF of Fractions is 1/191466.Finally, GCF of Fractions for 6924/198, 4789/967 is 1/191466.