Greatest Common Factor of 3785/373, 8625/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3785/373, 8625/226

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 3785/373,8625/226

Given fractions are 3785/373,8625/226

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 3785,8625

Greatest Common Factor of Numerators i.e. GCF of 3785,8625 is 5 .

LCM of Denominators means LCM of 373,226 as per the given fractions.

LCM of 373,226 is 84298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3785,8625

GCF of Fractions 3785/373,8625/226 is 5/84298

5 3785, 8625
757, 1725

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3785,8625 By Matching Biggest Common Factor Method

Greatest Common Factor of 3785,8625 By Matching Biggest Common Factor Method

Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1,5,757,3785

Factors of 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625

Greatest Common Factor

We found the factors 3785,8625 . The biggest common factor number is the GCF number.
So the greatest common factor 3785,8625 is 5.

Lets's calculate LCM of 373,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 84298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/84298

Therefore, the GCF of Fractions 3785/373,8625/226 is 5/84298

Least Common Multiple of 373,226 with GCF Formula

Least Common Multiple of 373,226 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 373,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,226) = 1

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

GCF(373,226) x common factors =1 x 1 = 1

LCM(373,226) = ( 373 × 226 ) / 1

LCM(373,226) = 84298 / 1

LCM(373,226) = 84298


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 3785/373, 8625/226

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 3785/373, 8625/226?

Answer: GCF of Numerators as per given numbers 3785/373, 8625/226 is

GCF of Numerators i.e. for 3785,8625 is 5

LCM of denominators i.e. for 373,226 is 84298.

Thus, GCF of Fractions is 5/84298.Finally, GCF of Fractions for 3785/373, 8625/226 is 5/84298.