Greatest Common Factor of 994/795, 161/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 994/795, 161/433

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 994/795,161/433

Given fractions are 994/795,161/433

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 994,161

Greatest Common Factor of Numerators i.e. GCF of 994,161 is 7 .

LCM of Denominators means LCM of 795,433 as per the given fractions.

LCM of 795,433 is 344235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 994,161

GCF of Fractions 994/795,161/433 is 7/344235

7 994, 161
142, 23

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

Greatest Common Factor of 994,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,161 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 161

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

1,7,23,161

Greatest Common Factor

We found the factors 994,161 . The biggest common factor number is the GCF number.
So the greatest common factor 994,161 is 7.

Lets's calculate LCM of 795,433

Given numbers has no common factors except 1. So, there LCM is their product i.e 344235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/344235

Therefore, the GCF of Fractions 994/795,161/433 is 7/344235

Least Common Multiple of 795,433 with GCF Formula

Least Common Multiple of 795,433 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 795,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,433) = 1

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

GCF(795,433) x common factors =1 x 1 = 1

LCM(795,433) = ( 795 × 433 ) / 1

LCM(795,433) = 344235 / 1

LCM(795,433) = 344235


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 994/795, 161/433

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 994/795, 161/433?

Answer: GCF of Numerators as per given numbers 994/795, 161/433 is

GCF of Numerators i.e. for 994,161 is 7

LCM of denominators i.e. for 795,433 is 344235.

Thus, GCF of Fractions is 7/344235.Finally, GCF of Fractions for 994/795, 161/433 is 7/344235.