Greatest Common Factor of 164/817, 310/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/817, 310/877

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 164/817,310/877

Given fractions are 164/817,310/877

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 164,310

Greatest Common Factor of Numerators i.e. GCF of 164,310 is 2 .

LCM of Denominators means LCM of 817,877 as per the given fractions.

LCM of 817,877 is 716509 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,310

GCF of Fractions 164/817,310/877 is 2/716509

2 164, 310
82, 155

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

Greatest Common Factor of 164,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,310 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 164,310 . The biggest common factor number is the GCF number.
So the greatest common factor 164,310 is 2.

Lets's calculate LCM of 817,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 716509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/716509

Therefore, the GCF of Fractions 164/817,310/877 is 2/716509

Least Common Multiple of 817,877 with GCF Formula

Least Common Multiple of 817,877 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 817,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,877) = 1

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

GCF(817,877) x common factors =1 x 1 = 1

LCM(817,877) = ( 817 × 877 ) / 1

LCM(817,877) = 716509 / 1

LCM(817,877) = 716509


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 164/817, 310/877

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 164/817, 310/877?

Answer: GCF of Numerators as per given numbers 164/817, 310/877 is

GCF of Numerators i.e. for 164,310 is 2

LCM of denominators i.e. for 817,877 is 716509.

Thus, GCF of Fractions is 2/716509.Finally, GCF of Fractions for 164/817, 310/877 is 2/716509.