Greatest Common Factor of 9207/460, 8174/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9207/460, 8174/494

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 9207/460,8174/494

Given fractions are 9207/460,8174/494

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 9207,8174

Greatest Common Factor of Numerators i.e. GCF of 9207,8174 is 1 .

LCM of Denominators means LCM of 460,494 as per the given fractions.

LCM of 460,494 is 113620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9207,8174

GCF of Fractions 9207/460,8174/494 is 1/113620

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

Greatest Common Factor of 9207,8174 By Matching Biggest Common Factor Method

Greatest Common Factor of 9207,8174 By Matching Biggest Common Factor Method

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1,2,61,67,122,134,4087,8174

Greatest Common Factor

We found the factors 9207,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,8174 is 1.

Lets's calculate LCM of 460,494

2 460, 494
230, 247

∴ So the LCM of the given numbers is 2 x 230 x 247 = 113620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113620

Therefore, the GCF of Fractions 9207/460,8174/494 is 1/113620

Least Common Multiple of 460,494 with GCF Formula

Least Common Multiple of 460,494 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 460,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,494) = 2

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

GCF(460,494) x common factors =2 x 1 = 2

LCM(460,494) = ( 460 × 494 ) / 2

LCM(460,494) = 227240 / 2

LCM(460,494) = 113620


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 9207/460, 8174/494

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 9207/460, 8174/494?

Answer: GCF of Numerators as per given numbers 9207/460, 8174/494 is

GCF of Numerators i.e. for 9207,8174 is 1

LCM of denominators i.e. for 460,494 is 113620.

Thus, GCF of Fractions is 1/113620.Finally, GCF of Fractions for 9207/460, 8174/494 is 1/113620.