GCD of 639, 960, 36, 429 Calculator

Given Input numbers are 639, 960, 36, 429

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

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 429

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

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

Greatest Common Divisior

We found the divisors of 639, 960, 36, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 960, 36, 429 is 3.

Therefore, GCD of numbers 639, 960, 36, 429 is 3

Given Input Data is 639, 960, 36, 429

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 429 is 3 x 11 x 13

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(639, 960) = 204480

GCD(639, 960) = ( 639 x 960 ) / 204480

GCD(639, 960) = 613440 / 204480

GCD(639, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 429

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

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

GCD(3, 429) = 1287 / 429

GCD(3, 429) = 3

GCD of 639, 960, 36, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 592, 44, 148
• GCD of 201, 878, 82, 647
• GCD of 820, 621, 88, 618
• GCD of 390, 971, 36, 713
• GCD of 541, 735, 43, 915

1. What is the GCD of 639, 960, 36, 429?

GCD of 639, 960, 36, 429 is 3

2. Where do I get the detailed procedure to find GCD of 639, 960, 36, 429?

You can find a detailed procedure to find GCD of 639, 960, 36, 429 on our page.

3. How to find GCD of 639, 960, 36, 429 on a calculator?

You can find the GCD of 639, 960, 36, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.