Greatest Common Factor of 9360/354, 6194/2763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9360/354, 6194/2763

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 9360/354,6194/2763

Given fractions are 9360/354,6194/2763

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 9360,6194

Greatest Common Factor of Numerators i.e. GCF of 9360,6194 is 2 .

LCM of Denominators means LCM of 354,2763 as per the given fractions.

LCM of 354,2763 is 326034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9360,6194

GCF of Fractions 9360/354,6194/2763 is 2/326034

2 9360, 6194
4680, 3097

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

Greatest Common Factor of 9360,6194 By Matching Biggest Common Factor Method

Greatest Common Factor of 9360,6194 By Matching Biggest Common Factor Method

Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360

Factors of 6194

List of positive integer factors of 6194 that divides 6194 without a remainder.

1,2,19,38,163,326,3097,6194

Greatest Common Factor

We found the factors 9360,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 9360,6194 is 2.

Lets's calculate LCM of 354,2763

3 354, 2763
118, 921

∴ So the LCM of the given numbers is 3 x 118 x 921 = 326034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/326034

Therefore, the GCF of Fractions 9360/354,6194/2763 is 2/326034

Least Common Multiple of 354,2763 with GCF Formula

Least Common Multiple of 354,2763 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 354,2763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,2763) = 3

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

GCF(354,2763) x common factors =3 x 1 = 3

LCM(354,2763) = ( 354 × 2763 ) / 3

LCM(354,2763) = 978102 / 3

LCM(354,2763) = 326034


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 9360/354, 6194/2763

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 9360/354, 6194/2763?

Answer: GCF of Numerators as per given numbers 9360/354, 6194/2763 is

GCF of Numerators i.e. for 9360,6194 is 2

LCM of denominators i.e. for 354,2763 is 326034.

Thus, GCF of Fractions is 2/326034.Finally, GCF of Fractions for 9360/354, 6194/2763 is 2/326034.