Greatest Common Factor of 9056/532, 8935/3122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9056/532, 8935/3122

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 9056/532,8935/3122

Given fractions are 9056/532,8935/3122

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 9056,8935

Greatest Common Factor of Numerators i.e. GCF of 9056,8935 is 1 .

LCM of Denominators means LCM of 532,3122 as per the given fractions.

LCM of 532,3122 is 118636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9056,8935

GCF of Fractions 9056/532,8935/3122 is 1/118636

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

Greatest Common Factor of 9056,8935 By Matching Biggest Common Factor Method

Greatest Common Factor of 9056,8935 By Matching Biggest Common Factor Method

Factors of 9056

List of positive integer factors of 9056 that divides 9056 without a remainder.

1,2,4,8,16,32,283,566,1132,2264,4528,9056

Factors of 8935

List of positive integer factors of 8935 that divides 8935 without a remainder.

1,5,1787,8935

Greatest Common Factor

We found the factors 9056,8935 . The biggest common factor number is the GCF number.
So the greatest common factor 9056,8935 is 1.

Lets's calculate LCM of 532,3122

2 532, 3122
7 266, 1561
38, 223

∴ So the LCM of the given numbers is 2 x 7 x 38 x 223 = 118636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118636

Therefore, the GCF of Fractions 9056/532,8935/3122 is 1/118636

Least Common Multiple of 532,3122 with GCF Formula

Least Common Multiple of 532,3122 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 532,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,3122) = 14

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

GCF(532,3122) x common factors =14 x 1 = 14

LCM(532,3122) = ( 532 × 3122 ) / 14

LCM(532,3122) = 1660904 / 14

LCM(532,3122) = 118636


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 9056/532, 8935/3122

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 9056/532, 8935/3122?

Answer: GCF of Numerators as per given numbers 9056/532, 8935/3122 is

GCF of Numerators i.e. for 9056,8935 is 1

LCM of denominators i.e. for 532,3122 is 118636.

Thus, GCF of Fractions is 1/118636.Finally, GCF of Fractions for 9056/532, 8935/3122 is 1/118636.