Greatest Common Factor of 5988/229, 9797/6735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5988/229, 9797/6735

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 5988/229,9797/6735

Given fractions are 5988/229,9797/6735

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 5988,9797

Greatest Common Factor of Numerators i.e. GCF of 5988,9797 is 1 .

LCM of Denominators means LCM of 229,6735 as per the given fractions.

LCM of 229,6735 is 1542315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5988,9797

GCF of Fractions 5988/229,9797/6735 is 1/1542315

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

Greatest Common Factor of 5988,9797 By Matching Biggest Common Factor Method

Greatest Common Factor of 5988,9797 By Matching Biggest Common Factor Method

Factors of 5988

List of positive integer factors of 5988 that divides 5988 without a remainder.

1,2,3,4,6,12,499,998,1497,1996,2994,5988

Factors of 9797

List of positive integer factors of 9797 that divides 9797 without a remainder.

1,97,101,9797

Greatest Common Factor

We found the factors 5988,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 5988,9797 is 1.

Lets's calculate LCM of 229,6735

Given numbers has no common factors except 1. So, there LCM is their product i.e 1542315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1542315

Therefore, the GCF of Fractions 5988/229,9797/6735 is 1/1542315

Least Common Multiple of 229,6735 with GCF Formula

Least Common Multiple of 229,6735 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 229,6735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,6735) = 1

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

GCF(229,6735) x common factors =1 x 1 = 1

LCM(229,6735) = ( 229 × 6735 ) / 1

LCM(229,6735) = 1542315 / 1

LCM(229,6735) = 1542315


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 5988/229, 9797/6735

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 5988/229, 9797/6735?

Answer: GCF of Numerators as per given numbers 5988/229, 9797/6735 is

GCF of Numerators i.e. for 5988,9797 is 1

LCM of denominators i.e. for 229,6735 is 1542315.

Thus, GCF of Fractions is 1/1542315.Finally, GCF of Fractions for 5988/229, 9797/6735 is 1/1542315.