Greatest Common Factor of 161/244, 4163/8351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 161/244, 4163/8351

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 161/244,4163/8351

Given fractions are 161/244,4163/8351

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 161,4163

Greatest Common Factor of Numerators i.e. GCF of 161,4163 is 23 .

LCM of Denominators means LCM of 244,8351 as per the given fractions.

LCM of 244,8351 is 2037644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 161,4163

GCF of Fractions 161/244,4163/8351 is 23/2037644

23 161, 4163
7, 181

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 161,4163 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,4163 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 4163

List of positive integer factors of 4163 that divides 4163 without a remainder.

1,23,181,4163

Greatest Common Factor

We found the factors 161,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 161,4163 is 23.

Lets's calculate LCM of 244,8351

Given numbers has no common factors except 1. So, there LCM is their product i.e 2037644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2037644

Therefore, the GCF of Fractions 161/244,4163/8351 is 23/2037644

Least Common Multiple of 244,8351 with GCF Formula

Least Common Multiple of 244,8351 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 244,8351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,8351) = 1

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

GCF(244,8351) x common factors =1 x 1 = 1

LCM(244,8351) = ( 244 × 8351 ) / 1

LCM(244,8351) = 2037644 / 1

LCM(244,8351) = 2037644


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 161/244, 4163/8351

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 161/244, 4163/8351?

Answer: GCF of Numerators as per given numbers 161/244, 4163/8351 is

GCF of Numerators i.e. for 161,4163 is 23

LCM of denominators i.e. for 244,8351 is 2037644.

Thus, GCF of Fractions is 23/2037644.Finally, GCF of Fractions for 161/244, 4163/8351 is 23/2037644.