Greatest Common Factor of 4185/423, 2965/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4185/423, 2965/785

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 4185/423,2965/785

Given fractions are 4185/423,2965/785

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 4185,2965

Greatest Common Factor of Numerators i.e. GCF of 4185,2965 is 5 .

LCM of Denominators means LCM of 423,785 as per the given fractions.

LCM of 423,785 is 332055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4185,2965

GCF of Fractions 4185/423,2965/785 is 5/332055

5 4185, 2965
837, 593

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

Greatest Common Factor of 4185,2965 By Matching Biggest Common Factor Method

Greatest Common Factor of 4185,2965 By Matching Biggest Common Factor Method

Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185

Factors of 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1,5,593,2965

Greatest Common Factor

We found the factors 4185,2965 . The biggest common factor number is the GCF number.
So the greatest common factor 4185,2965 is 5.

Lets's calculate LCM of 423,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 332055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/332055

Therefore, the GCF of Fractions 4185/423,2965/785 is 5/332055

Least Common Multiple of 423,785 with GCF Formula

Least Common Multiple of 423,785 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 423,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,785) = 1

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

GCF(423,785) x common factors =1 x 1 = 1

LCM(423,785) = ( 423 × 785 ) / 1

LCM(423,785) = 332055 / 1

LCM(423,785) = 332055


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 4185/423, 2965/785

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 4185/423, 2965/785?

Answer: GCF of Numerators as per given numbers 4185/423, 2965/785 is

GCF of Numerators i.e. for 4185,2965 is 5

LCM of denominators i.e. for 423,785 is 332055.

Thus, GCF of Fractions is 5/332055.Finally, GCF of Fractions for 4185/423, 2965/785 is 5/332055.