Greatest Common Factor of 7368/973, 5787/1950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7368/973, 5787/1950

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 7368/973,5787/1950

Given fractions are 7368/973,5787/1950

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 7368,5787

Greatest Common Factor of Numerators i.e. GCF of 7368,5787 is 3 .

LCM of Denominators means LCM of 973,1950 as per the given fractions.

LCM of 973,1950 is 1897350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7368,5787

GCF of Fractions 7368/973,5787/1950 is 3/1897350

3 7368, 5787
2456, 1929

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7368,5787 By Matching Biggest Common Factor Method

Greatest Common Factor of 7368,5787 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 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1,3,9,643,1929,5787

Greatest Common Factor

We found the factors 7368,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 7368,5787 is 3.

Lets's calculate LCM of 973,1950

Given numbers has no common factors except 1. So, there LCM is their product i.e 1897350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1897350

Therefore, the GCF of Fractions 7368/973,5787/1950 is 3/1897350

Least Common Multiple of 973,1950 with GCF Formula

Least Common Multiple of 973,1950 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 973,1950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,1950) = 1

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

GCF(973,1950) x common factors =1 x 1 = 1

LCM(973,1950) = ( 973 × 1950 ) / 1

LCM(973,1950) = 1897350 / 1

LCM(973,1950) = 1897350


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 7368/973, 5787/1950

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 7368/973, 5787/1950?

Answer: GCF of Numerators as per given numbers 7368/973, 5787/1950 is

GCF of Numerators i.e. for 7368,5787 is 3

LCM of denominators i.e. for 973,1950 is 1897350.

Thus, GCF of Fractions is 3/1897350.Finally, GCF of Fractions for 7368/973, 5787/1950 is 3/1897350.