Greatest Common Factor of 7368/983, 1968/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7368/983, 1968/867

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 7368/983,1968/867

Given fractions are 7368/983,1968/867

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 7368,1968

Greatest Common Factor of Numerators i.e. GCF of 7368,1968 is 24 .

LCM of Denominators means LCM of 983,867 as per the given fractions.

LCM of 983,867 is 852261 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7368,1968

GCF of Fractions 7368/983,1968/867 is 24/852261

2 7368, 1968
2 3684, 984
2 1842, 492
3 921, 246
307, 82

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 7368,1968 By Matching Biggest Common Factor Method

Greatest Common Factor of 7368,1968 By Matching Biggest Common Factor Method

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968

Greatest Common Factor

We found the factors 7368,1968 . The biggest common factor number is the GCF number.
So the greatest common factor 7368,1968 is 24.

Lets's calculate LCM of 983,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 852261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/852261

Therefore, the GCF of Fractions 7368/983,1968/867 is 24/852261

Least Common Multiple of 983,867 with GCF Formula

Least Common Multiple of 983,867 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 983,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,867) = 1

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

GCF(983,867) x common factors =1 x 1 = 1

LCM(983,867) = ( 983 × 867 ) / 1

LCM(983,867) = 852261 / 1

LCM(983,867) = 852261


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 7368/983, 1968/867

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 7368/983, 1968/867?

Answer: GCF of Numerators as per given numbers 7368/983, 1968/867 is

GCF of Numerators i.e. for 7368,1968 is 24

LCM of denominators i.e. for 983,867 is 852261.

Thus, GCF of Fractions is 24/852261.Finally, GCF of Fractions for 7368/983, 1968/867 is 24/852261.