Greatest Common Factor of 9345/466, 7126/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9345/466, 7126/855

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 9345/466,7126/855

Given fractions are 9345/466,7126/855

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 9345,7126

Greatest Common Factor of Numerators i.e. GCF of 9345,7126 is 7 .

LCM of Denominators means LCM of 466,855 as per the given fractions.

LCM of 466,855 is 398430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9345,7126

GCF of Fractions 9345/466,7126/855 is 7/398430

7 9345, 7126
1335, 1018

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9345,7126 By Matching Biggest Common Factor Method

Greatest Common Factor of 9345,7126 By Matching Biggest Common Factor Method

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1,2,7,14,509,1018,3563,7126

Greatest Common Factor

We found the factors 9345,7126 . The biggest common factor number is the GCF number.
So the greatest common factor 9345,7126 is 7.

Lets's calculate LCM of 466,855

Given numbers has no common factors except 1. So, there LCM is their product i.e 398430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/398430

Therefore, the GCF of Fractions 9345/466,7126/855 is 7/398430

Least Common Multiple of 466,855 with GCF Formula

Least Common Multiple of 466,855 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 466,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,855) = 1

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

GCF(466,855) x common factors =1 x 1 = 1

LCM(466,855) = ( 466 × 855 ) / 1

LCM(466,855) = 398430 / 1

LCM(466,855) = 398430


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 9345/466, 7126/855

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 9345/466, 7126/855?

Answer: GCF of Numerators as per given numbers 9345/466, 7126/855 is

GCF of Numerators i.e. for 9345,7126 is 7

LCM of denominators i.e. for 466,855 is 398430.

Thus, GCF of Fractions is 7/398430.Finally, GCF of Fractions for 9345/466, 7126/855 is 7/398430.