Greatest Common Factor of 8161/320, 8164/2986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8161/320, 8164/2986

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 8161/320,8164/2986

Given fractions are 8161/320,8164/2986

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 8161,8164

Greatest Common Factor of Numerators i.e. GCF of 8161,8164 is 1 .

LCM of Denominators means LCM of 320,2986 as per the given fractions.

LCM of 320,2986 is 477760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8161,8164

GCF of Fractions 8161/320,8164/2986 is 1/477760

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

Greatest Common Factor of 8161,8164 By Matching Biggest Common Factor Method

Greatest Common Factor of 8161,8164 By Matching Biggest Common Factor Method

Factors of 8161

List of positive integer factors of 8161 that divides 8161 without a remainder.

1,8161

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Greatest Common Factor

We found the factors 8161,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 8161,8164 is 1.

Lets's calculate LCM of 320,2986

2 320, 2986
160, 1493

∴ So the LCM of the given numbers is 2 x 160 x 1493 = 477760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477760

Therefore, the GCF of Fractions 8161/320,8164/2986 is 1/477760

Least Common Multiple of 320,2986 with GCF Formula

Least Common Multiple of 320,2986 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 320,2986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,2986) = 2

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

GCF(320,2986) x common factors =2 x 1 = 2

LCM(320,2986) = ( 320 × 2986 ) / 2

LCM(320,2986) = 955520 / 2

LCM(320,2986) = 477760


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 8161/320, 8164/2986

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 8161/320, 8164/2986?

Answer: GCF of Numerators as per given numbers 8161/320, 8164/2986 is

GCF of Numerators i.e. for 8161,8164 is 1

LCM of denominators i.e. for 320,2986 is 477760.

Thus, GCF of Fractions is 1/477760.Finally, GCF of Fractions for 8161/320, 8164/2986 is 1/477760.