GCD of 360, 312, 59, 435 Calculator

Given Input numbers are 360, 312, 59, 435

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 360, 312, 59, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 312, 59, 435 is 1.

Therefore, GCD of numbers 360, 312, 59, 435 is 1

Given Input Data is 360, 312, 59, 435

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 59 is 59

Prime Factorization of 435 is 3 x 5 x 29

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(360, 312) = 4680

GCD(360, 312) = ( 360 x 312 ) / 4680

GCD(360, 312) = 112320 / 4680

GCD(360, 312) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 59

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

LCM(24, 59) = 1416

GCD(24, 59) = ( 24 x 59 ) / 1416

GCD(24, 59) = 1416 / 1416

GCD(24, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

GCD of 360, 312, 59, 435 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 780, 79, 116
• GCD of 914, 137, 24, 584
• GCD of 224, 486, 69, 323
• GCD of 309, 989, 88, 469
• GCD of 359, 520, 69, 266

1. What is the GCD of 360, 312, 59, 435?

GCD of 360, 312, 59, 435 is 1

2. Where do I get the detailed procedure to find GCD of 360, 312, 59, 435?

You can find a detailed procedure to find GCD of 360, 312, 59, 435 on our page.

3. How to find GCD of 360, 312, 59, 435 on a calculator?

You can find the GCD of 360, 312, 59, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.