Greatest Common Factor of 5205/996, 5973/9782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5205/996, 5973/9782

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 5205/996,5973/9782

Given fractions are 5205/996,5973/9782

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 5205,5973

Greatest Common Factor of Numerators i.e. GCF of 5205,5973 is 3 .

LCM of Denominators means LCM of 996,9782 as per the given fractions.

LCM of 996,9782 is 4871436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5205,5973

GCF of Fractions 5205/996,5973/9782 is 3/4871436

3 5205, 5973
1735, 1991

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

Greatest Common Factor of 5205,5973 By Matching Biggest Common Factor Method

Greatest Common Factor of 5205,5973 By Matching Biggest Common Factor Method

Factors of 5205

List of positive integer factors of 5205 that divides 5205 without a remainder.

1,3,5,15,347,1041,1735,5205

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1,3,11,33,181,543,1991,5973

Greatest Common Factor

We found the factors 5205,5973 . The biggest common factor number is the GCF number.
So the greatest common factor 5205,5973 is 3.

Lets's calculate LCM of 996,9782

2 996, 9782
498, 4891

∴ So the LCM of the given numbers is 2 x 498 x 4891 = 4871436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4871436

Therefore, the GCF of Fractions 5205/996,5973/9782 is 3/4871436

Least Common Multiple of 996,9782 with GCF Formula

Least Common Multiple of 996,9782 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 996,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,9782) = 2

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

GCF(996,9782) x common factors =2 x 1 = 2

LCM(996,9782) = ( 996 × 9782 ) / 2

LCM(996,9782) = 9742872 / 2

LCM(996,9782) = 4871436


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 5205/996, 5973/9782

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 5205/996, 5973/9782?

Answer: GCF of Numerators as per given numbers 5205/996, 5973/9782 is

GCF of Numerators i.e. for 5205,5973 is 3

LCM of denominators i.e. for 996,9782 is 4871436.

Thus, GCF of Fractions is 3/4871436.Finally, GCF of Fractions for 5205/996, 5973/9782 is 3/4871436.