GCD of 915, 741, 60, 414 Calculator

Given Input numbers are 915, 741, 60, 414

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 915, 741, 60, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 741, 60, 414 is 3.

Therefore, GCD of numbers 915, 741, 60, 414 is 3

Given Input Data is 915, 741, 60, 414

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 414 is 2 x 3 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(915, 741) = 226005

GCD(915, 741) = ( 915 x 741 ) / 226005

GCD(915, 741) = 678015 / 226005

GCD(915, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 414

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

GCD(3, 414) = 1242 / 414

GCD(3, 414) = 3

GCD of 915, 741, 60, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 937, 82, 203
• GCD of 343, 144, 24, 795
• GCD of 132, 847, 23, 975
• GCD of 401, 726, 28, 636
• GCD of 424, 591, 87, 404

1. What is the GCD of 915, 741, 60, 414?

GCD of 915, 741, 60, 414 is 3

2. Where do I get the detailed procedure to find GCD of 915, 741, 60, 414?

You can find a detailed procedure to find GCD of 915, 741, 60, 414 on our page.

3. How to find GCD of 915, 741, 60, 414 on a calculator?

You can find the GCD of 915, 741, 60, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.