Greatest Common Factor of 8185/92, 3008/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8185/92, 3008/523

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 8185/92,3008/523

Given fractions are 8185/92,3008/523

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 8185,3008

Greatest Common Factor of Numerators i.e. GCF of 8185,3008 is 1 .

LCM of Denominators means LCM of 92,523 as per the given fractions.

LCM of 92,523 is 48116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8185,3008

GCF of Fractions 8185/92,3008/523 is 1/48116

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

Greatest Common Factor of 8185,3008 By Matching Biggest Common Factor Method

Greatest Common Factor of 8185,3008 By Matching Biggest Common Factor Method

Factors of 8185

List of positive integer factors of 8185 that divides 8185 without a remainder.

1,5,1637,8185

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1,2,4,8,16,32,47,64,94,188,376,752,1504,3008

Greatest Common Factor

We found the factors 8185,3008 . The biggest common factor number is the GCF number.
So the greatest common factor 8185,3008 is 1.

Lets's calculate LCM of 92,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 48116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48116

Therefore, the GCF of Fractions 8185/92,3008/523 is 1/48116

Least Common Multiple of 92,523 with GCF Formula

Least Common Multiple of 92,523 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 92,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,523) = 1

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

GCF(92,523) x common factors =1 x 1 = 1

LCM(92,523) = ( 92 × 523 ) / 1

LCM(92,523) = 48116 / 1

LCM(92,523) = 48116


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 8185/92, 3008/523

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 8185/92, 3008/523?

Answer: GCF of Numerators as per given numbers 8185/92, 3008/523 is

GCF of Numerators i.e. for 8185,3008 is 1

LCM of denominators i.e. for 92,523 is 48116.

Thus, GCF of Fractions is 1/48116.Finally, GCF of Fractions for 8185/92, 3008/523 is 1/48116.