GCD of 315, 429, 61, 240 Calculator

Given Input numbers are 315, 429, 61, 240

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 315, 429, 61, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 429, 61, 240 is 1.

Therefore, GCD of numbers 315, 429, 61, 240 is 1

Given Input Data is 315, 429, 61, 240

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 61 is 61

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(315, 429) = 45045

GCD(315, 429) = ( 315 x 429 ) / 45045

GCD(315, 429) = 135135 / 45045

GCD(315, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 315, 429, 61, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 712, 40, 135
• GCD of 178, 923, 50, 971
• GCD of 893, 808, 46, 303
• GCD of 220, 524, 94, 767
• GCD of 432, 586, 42, 268

1. What is the GCD of 315, 429, 61, 240?

GCD of 315, 429, 61, 240 is 1

2. Where do I get the detailed procedure to find GCD of 315, 429, 61, 240?

You can find a detailed procedure to find GCD of 315, 429, 61, 240 on our page.

3. How to find GCD of 315, 429, 61, 240 on a calculator?

You can find the GCD of 315, 429, 61, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.