Greatest Common Factor of 1233/21, 9889/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1233/21, 9889/740

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 1233/21,9889/740

Given fractions are 1233/21,9889/740

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 1233,9889

Greatest Common Factor of Numerators i.e. GCF of 1233,9889 is 1 .

LCM of Denominators means LCM of 21,740 as per the given fractions.

LCM of 21,740 is 15540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1233,9889

GCF of Fractions 1233/21,9889/740 is 1/15540

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

Greatest Common Factor of 1233,9889 By Matching Biggest Common Factor Method

Greatest Common Factor of 1233,9889 By Matching Biggest Common Factor Method

Factors of 1233

List of positive integer factors of 1233 that divides 1233 without a remainder.

1,3,9,137,411,1233

Factors of 9889

List of positive integer factors of 9889 that divides 9889 without a remainder.

1,11,29,31,319,341,899,9889

Greatest Common Factor

We found the factors 1233,9889 . The biggest common factor number is the GCF number.
So the greatest common factor 1233,9889 is 1.

Lets's calculate LCM of 21,740

Given numbers has no common factors except 1. So, there LCM is their product i.e 15540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15540

Therefore, the GCF of Fractions 1233/21,9889/740 is 1/15540

Least Common Multiple of 21,740 with GCF Formula

Least Common Multiple of 21,740 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 21,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,740) = 1

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

GCF(21,740) x common factors =1 x 1 = 1

LCM(21,740) = ( 21 × 740 ) / 1

LCM(21,740) = 15540 / 1

LCM(21,740) = 15540


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 1233/21, 9889/740

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 1233/21, 9889/740?

Answer: GCF of Numerators as per given numbers 1233/21, 9889/740 is

GCF of Numerators i.e. for 1233,9889 is 1

LCM of denominators i.e. for 21,740 is 15540.

Thus, GCF of Fractions is 1/15540.Finally, GCF of Fractions for 1233/21, 9889/740 is 1/15540.