Greatest Common Factor of 9407/55, 5161/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9407/55, 5161/172

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 9407/55,5161/172

Given fractions are 9407/55,5161/172

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 9407,5161

Greatest Common Factor of Numerators i.e. GCF of 9407,5161 is 1 .

LCM of Denominators means LCM of 55,172 as per the given fractions.

LCM of 55,172 is 9460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9407,5161

GCF of Fractions 9407/55,5161/172 is 1/9460

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

Greatest Common Factor of 9407,5161 By Matching Biggest Common Factor Method

Greatest Common Factor of 9407,5161 By Matching Biggest Common Factor Method

Factors of 9407

List of positive integer factors of 9407 that divides 9407 without a remainder.

1,23,409,9407

Factors of 5161

List of positive integer factors of 5161 that divides 5161 without a remainder.

1,13,397,5161

Greatest Common Factor

We found the factors 9407,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 9407,5161 is 1.

Lets's calculate LCM of 55,172

Given numbers has no common factors except 1. So, there LCM is their product i.e 9460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9460

Therefore, the GCF of Fractions 9407/55,5161/172 is 1/9460

Least Common Multiple of 55,172 with GCF Formula

Least Common Multiple of 55,172 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 55,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,172) = 1

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

GCF(55,172) x common factors =1 x 1 = 1

LCM(55,172) = ( 55 × 172 ) / 1

LCM(55,172) = 9460 / 1

LCM(55,172) = 9460


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 9407/55, 5161/172

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 9407/55, 5161/172?

Answer: GCF of Numerators as per given numbers 9407/55, 5161/172 is

GCF of Numerators i.e. for 9407,5161 is 1

LCM of denominators i.e. for 55,172 is 9460.

Thus, GCF of Fractions is 1/9460.Finally, GCF of Fractions for 9407/55, 5161/172 is 1/9460.