Greatest Common Factor of 9349/936, 6935/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9349/936, 6935/549

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 9349/936,6935/549

Given fractions are 9349/936,6935/549

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 9349,6935

Greatest Common Factor of Numerators i.e. GCF of 9349,6935 is 1 .

LCM of Denominators means LCM of 936,549 as per the given fractions.

LCM of 936,549 is 57096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9349,6935

GCF of Fractions 9349/936,6935/549 is 1/57096

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

Greatest Common Factor of 9349,6935 By Matching Biggest Common Factor Method

Greatest Common Factor of 9349,6935 By Matching Biggest Common Factor Method

Factors of 9349

List of positive integer factors of 9349 that divides 9349 without a remainder.

1,9349

Factors of 6935

List of positive integer factors of 6935 that divides 6935 without a remainder.

1,5,19,73,95,365,1387,6935

Greatest Common Factor

We found the factors 9349,6935 . The biggest common factor number is the GCF number.
So the greatest common factor 9349,6935 is 1.

Lets's calculate LCM of 936,549

3 936, 549
3 312, 183
104, 61

∴ So the LCM of the given numbers is 3 x 3 x 104 x 61 = 57096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57096

Therefore, the GCF of Fractions 9349/936,6935/549 is 1/57096

Least Common Multiple of 936,549 with GCF Formula

Least Common Multiple of 936,549 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 936,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,549) = 9

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

GCF(936,549) x common factors =9 x 1 = 9

LCM(936,549) = ( 936 × 549 ) / 9

LCM(936,549) = 513864 / 9

LCM(936,549) = 57096


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 9349/936, 6935/549

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 9349/936, 6935/549?

Answer: GCF of Numerators as per given numbers 9349/936, 6935/549 is

GCF of Numerators i.e. for 9349,6935 is 1

LCM of denominators i.e. for 936,549 is 57096.

Thus, GCF of Fractions is 1/57096.Finally, GCF of Fractions for 9349/936, 6935/549 is 1/57096.