LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 844/191, 478/161

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 844/191, 478/161 i.e 2/30751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/191, 478/161.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 844/191,478/161?

Given fractions are 844/191,478/161

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 844/191,478/161, numerators are 844,478

Denominators are 191,161

The GCF of 844,478 is 2 .

LCM of 191,161 is 30751.

The greatest common factor of 844/191,478/161 = [GCF of 844,478]/[LCM of 191,161]= 2/30751

Therefore, the GCF of 844/191,478/161 is 2/30751.

Greatest Common Factor of 844,478

To find the highest common factor of 844,478, we have to find the factors of both numbers and list the highest common factor.

The factors of 844 are 1, 2, 4, 211, 422, 844

The factors of 478 are 1, 2, 239, 478

The HCF of 844,478 is 2.

Lets's calculate GCF of 844,478

Greatest Common Factor (GCF) of 844,478 By Common Division

2 844, 478
422, 239

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 844,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,478 By Matching Biggest Common Factor Method

Now, list down the factors of 844

:

1,2,4,211,422,844

Now, list down the factors of 478

:

1,2,239,478

Greatest Common Factor

We found the factors 844,478 . The biggest common factor number is the GCF number.
So the greatest common factor 844,478 is 2.

Lets's calculate LCM of 191,161

Lowest Common Multiple of 191,161 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30751

Therefore, the GCF of Fractions 844/191,478/161 is 2/30751

Least Common Multiple of 191,161 with GCF Formula

Least Common Multiple of 191,161 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 191,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,161) = 1

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

GCF(191,161) x common factors =1 x 1 = 1

LCM(191,161) = ( 191 × 161 ) / 1

LCM(191,161) = 30751 / 1

LCM(191,161) = 30751


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 844/191, 478/161

1. What is the HCF of 844,478?

The HCF of 844,478 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 844/191, 478/161?

Answer: GCF of Numerators as per given numbers 844/191, 478/161 is

GCF of Numerators i.e. for 844,478 is 2

LCM of denominators i.e. for 191,161 is 30751.

Thus, GCF of Fractions is 2/30751.Finally, GCF of Fractions for 844/191, 478/161 is 2/30751.