Greatest Common Factor of 465/60, 6195/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/60, 6195/594

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 465/60,6195/594

Given fractions are 465/60,6195/594

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 465,6195

Greatest Common Factor of Numerators i.e. GCF of 465,6195 is 15 .

LCM of Denominators means LCM of 60,594 as per the given fractions.

LCM of 60,594 is 5940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,6195

GCF of Fractions 465/60,6195/594 is 15/5940

3 465, 6195
5 155, 2065
31, 413

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 465,6195 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,6195 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 6195

List of positive integer factors of 6195 that divides 6195 without a remainder.

1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195

Greatest Common Factor

We found the factors 465,6195 . The biggest common factor number is the GCF number.
So the greatest common factor 465,6195 is 15.

Lets's calculate LCM of 60,594

2 60, 594
3 30, 297
10, 99

∴ So the LCM of the given numbers is 2 x 3 x 10 x 99 = 5940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5940

Therefore, the GCF of Fractions 465/60,6195/594 is 15/5940

Least Common Multiple of 60,594 with GCF Formula

Least Common Multiple of 60,594 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 60,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,594) = 6

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

GCF(60,594) x common factors =6 x 1 = 6

LCM(60,594) = ( 60 × 594 ) / 6

LCM(60,594) = 35640 / 6

LCM(60,594) = 5940


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 465/60, 6195/594

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 465/60, 6195/594?

Answer: GCF of Numerators as per given numbers 465/60, 6195/594 is

GCF of Numerators i.e. for 465,6195 is 15

LCM of denominators i.e. for 60,594 is 5940.

Thus, GCF of Fractions is 15/5940.Finally, GCF of Fractions for 465/60, 6195/594 is 15/5940.