Greatest Common Factor of 4185/304, 1962/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4185/304, 1962/465

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 4185/304,1962/465

Given fractions are 4185/304,1962/465

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 4185,1962

Greatest Common Factor of Numerators i.e. GCF of 4185,1962 is 9 .

LCM of Denominators means LCM of 304,465 as per the given fractions.

LCM of 304,465 is 141360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4185,1962

GCF of Fractions 4185/304,1962/465 is 9/141360

3 4185, 1962
3 1395, 654
465, 218

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4185,1962 By Matching Biggest Common Factor Method

Greatest Common Factor of 4185,1962 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 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1,2,3,6,9,18,109,218,327,654,981,1962

Greatest Common Factor

We found the factors 4185,1962 . The biggest common factor number is the GCF number.
So the greatest common factor 4185,1962 is 9.

Lets's calculate LCM of 304,465

Given numbers has no common factors except 1. So, there LCM is their product i.e 141360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/141360

Therefore, the GCF of Fractions 4185/304,1962/465 is 9/141360

Least Common Multiple of 304,465 with GCF Formula

Least Common Multiple of 304,465 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 304,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,465) = 1

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

GCF(304,465) x common factors =1 x 1 = 1

LCM(304,465) = ( 304 × 465 ) / 1

LCM(304,465) = 141360 / 1

LCM(304,465) = 141360


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 4185/304, 1962/465

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 4185/304, 1962/465?

Answer: GCF of Numerators as per given numbers 4185/304, 1962/465 is

GCF of Numerators i.e. for 4185,1962 is 9

LCM of denominators i.e. for 304,465 is 141360.

Thus, GCF of Fractions is 9/141360.Finally, GCF of Fractions for 4185/304, 1962/465 is 9/141360.