Greatest Common Factor of 9161/361, 4178/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9161/361, 4178/852

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 9161/361,4178/852

Given fractions are 9161/361,4178/852

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 9161,4178

Greatest Common Factor of Numerators i.e. GCF of 9161,4178 is 1 .

LCM of Denominators means LCM of 361,852 as per the given fractions.

LCM of 361,852 is 307572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9161,4178

GCF of Fractions 9161/361,4178/852 is 1/307572

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

Greatest Common Factor of 9161,4178 By Matching Biggest Common Factor Method

Greatest Common Factor of 9161,4178 By Matching Biggest Common Factor Method

Factors of 9161

List of positive integer factors of 9161 that divides 9161 without a remainder.

1,9161

Factors of 4178

List of positive integer factors of 4178 that divides 4178 without a remainder.

1,2,2089,4178

Greatest Common Factor

We found the factors 9161,4178 . The biggest common factor number is the GCF number.
So the greatest common factor 9161,4178 is 1.

Lets's calculate LCM of 361,852

Given numbers has no common factors except 1. So, there LCM is their product i.e 307572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307572

Therefore, the GCF of Fractions 9161/361,4178/852 is 1/307572

Least Common Multiple of 361,852 with GCF Formula

Least Common Multiple of 361,852 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 361,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,852) = 1

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

GCF(361,852) x common factors =1 x 1 = 1

LCM(361,852) = ( 361 × 852 ) / 1

LCM(361,852) = 307572 / 1

LCM(361,852) = 307572


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 9161/361, 4178/852

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 9161/361, 4178/852?

Answer: GCF of Numerators as per given numbers 9161/361, 4178/852 is

GCF of Numerators i.e. for 9161,4178 is 1

LCM of denominators i.e. for 361,852 is 307572.

Thus, GCF of Fractions is 1/307572.Finally, GCF of Fractions for 9161/361, 4178/852 is 1/307572.