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 806/824, 167/735

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 806/824, 167/735 i.e 1/605640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/824, 167/735.

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 806/824,167/735?

Given fractions are 806/824,167/735

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 806/824,167/735, numerators are 806,167

Denominators are 824,735

The GCF of 806,167 is 1 .

LCM of 824,735 is 605640.

The greatest common factor of 806/824,167/735 = [GCF of 806,167]/[LCM of 824,735]= 1/605640

Therefore, the GCF of 806/824,167/735 is 1/605640.

Greatest Common Factor of 806,167

To find the highest common factor of 806,167, we have to find the factors of both numbers and list the highest common factor.

The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806

The factors of 167 are 1, 167

The HCF of 806,167 is 1.

Lets's calculate GCF of 806,167

Greatest Common Factor (GCF) of 806,167 By Common Division

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

Greatest Common Factor of 806,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,167 By Matching Biggest Common Factor Method

Now, list down the factors of 806

:

1,2,13,26,31,62,403,806

Now, list down the factors of 167

:

1,167

Greatest Common Factor

We found the factors 806,167 . The biggest common factor number is the GCF number.
So the greatest common factor 806,167 is 1.

Lets's calculate LCM of 824,735

Lowest Common Multiple of 824,735 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 605640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605640

Therefore, the GCF of Fractions 806/824,167/735 is 1/605640

Least Common Multiple of 824,735 with GCF Formula

Least Common Multiple of 824,735 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 824,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,735) = 1

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

GCF(824,735) x common factors =1 x 1 = 1

LCM(824,735) = ( 824 × 735 ) / 1

LCM(824,735) = 605640 / 1

LCM(824,735) = 605640


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 806/824, 167/735

1. What is the HCF of 806,167?

The HCF of 806,167 is 1

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 806/824, 167/735?

Answer: GCF of Numerators as per given numbers 806/824, 167/735 is

GCF of Numerators i.e. for 806,167 is 1

LCM of denominators i.e. for 824,735 is 605640.

Thus, GCF of Fractions is 1/605640.Finally, GCF of Fractions for 806/824, 167/735 is 1/605640.