Greatest Common Factor of 9752/111, 5822/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9752/111, 5822/509

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 9752/111,5822/509

Given fractions are 9752/111,5822/509

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 9752,5822

Greatest Common Factor of Numerators i.e. GCF of 9752,5822 is 2 .

LCM of Denominators means LCM of 111,509 as per the given fractions.

LCM of 111,509 is 56499 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9752,5822

GCF of Fractions 9752/111,5822/509 is 2/56499

2 9752, 5822
4876, 2911

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9752,5822 By Matching Biggest Common Factor Method

Greatest Common Factor of 9752,5822 By Matching Biggest Common Factor Method

Factors of 9752

List of positive integer factors of 9752 that divides 9752 without a remainder.

1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1,2,41,71,82,142,2911,5822

Greatest Common Factor

We found the factors 9752,5822 . The biggest common factor number is the GCF number.
So the greatest common factor 9752,5822 is 2.

Lets's calculate LCM of 111,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 56499

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56499

Therefore, the GCF of Fractions 9752/111,5822/509 is 2/56499

Least Common Multiple of 111,509 with GCF Formula

Least Common Multiple of 111,509 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 111,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,509) = 1

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

GCF(111,509) x common factors =1 x 1 = 1

LCM(111,509) = ( 111 × 509 ) / 1

LCM(111,509) = 56499 / 1

LCM(111,509) = 56499


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 9752/111, 5822/509

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 9752/111, 5822/509?

Answer: GCF of Numerators as per given numbers 9752/111, 5822/509 is

GCF of Numerators i.e. for 9752,5822 is 2

LCM of denominators i.e. for 111,509 is 56499.

Thus, GCF of Fractions is 2/56499.Finally, GCF of Fractions for 9752/111, 5822/509 is 2/56499.