Greatest Common Factor of 7218/924, 9826/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7218/924, 9826/983

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 7218/924,9826/983

Given fractions are 7218/924,9826/983

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 7218,9826

Greatest Common Factor of Numerators i.e. GCF of 7218,9826 is 2 .

LCM of Denominators means LCM of 924,983 as per the given fractions.

LCM of 924,983 is 908292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7218,9826

GCF of Fractions 7218/924,9826/983 is 2/908292

2 7218, 9826
3609, 4913

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7218,9826 By Matching Biggest Common Factor Method

Greatest Common Factor of 7218,9826 By Matching Biggest Common Factor Method

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1,2,3,6,9,18,401,802,1203,2406,3609,7218

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1,2,17,34,289,578,4913,9826

Greatest Common Factor

We found the factors 7218,9826 . The biggest common factor number is the GCF number.
So the greatest common factor 7218,9826 is 2.

Lets's calculate LCM of 924,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 908292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/908292

Therefore, the GCF of Fractions 7218/924,9826/983 is 2/908292

Least Common Multiple of 924,983 with GCF Formula

Least Common Multiple of 924,983 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 924,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,983) = 1

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

GCF(924,983) x common factors =1 x 1 = 1

LCM(924,983) = ( 924 × 983 ) / 1

LCM(924,983) = 908292 / 1

LCM(924,983) = 908292


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 7218/924, 9826/983

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 7218/924, 9826/983?

Answer: GCF of Numerators as per given numbers 7218/924, 9826/983 is

GCF of Numerators i.e. for 7218,9826 is 2

LCM of denominators i.e. for 924,983 is 908292.

Thus, GCF of Fractions is 2/908292.Finally, GCF of Fractions for 7218/924, 9826/983 is 2/908292.