Greatest Common Factor of 264/935, 9889/2309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/935, 9889/2309

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 264/935,9889/2309

Given fractions are 264/935,9889/2309

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 264,9889

Greatest Common Factor of Numerators i.e. GCF of 264,9889 is 11 .

LCM of Denominators means LCM of 935,2309 as per the given fractions.

LCM of 935,2309 is 2158915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,9889

GCF of Fractions 264/935,9889/2309 is 11/2158915

11 264, 9889
24, 899

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 264,9889 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,9889 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

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 264,9889 . The biggest common factor number is the GCF number.
So the greatest common factor 264,9889 is 11.

Lets's calculate LCM of 935,2309

Given numbers has no common factors except 1. So, there LCM is their product i.e 2158915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2158915

Therefore, the GCF of Fractions 264/935,9889/2309 is 11/2158915

Least Common Multiple of 935,2309 with GCF Formula

Least Common Multiple of 935,2309 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 935,2309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,2309) = 1

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

GCF(935,2309) x common factors =1 x 1 = 1

LCM(935,2309) = ( 935 × 2309 ) / 1

LCM(935,2309) = 2158915 / 1

LCM(935,2309) = 2158915


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 264/935, 9889/2309

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 264/935, 9889/2309?

Answer: GCF of Numerators as per given numbers 264/935, 9889/2309 is

GCF of Numerators i.e. for 264,9889 is 11

LCM of denominators i.e. for 935,2309 is 2158915.

Thus, GCF of Fractions is 11/2158915.Finally, GCF of Fractions for 264/935, 9889/2309 is 11/2158915.