GCD of 39, 691, 420, 632 Calculator

Given Input numbers are 39, 691, 420, 632

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 39, 691, 420, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 691, 420, 632 is 1.

Therefore, GCD of numbers 39, 691, 420, 632 is 1

Given Input Data is 39, 691, 420, 632

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 691 is 691

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(39, 691) = 26949

GCD(39, 691) = ( 39 x 691 ) / 26949

GCD(39, 691) = 26949 / 26949

GCD(39, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 39, 691, 420, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 855, 551, 999
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• GCD of 35, 310, 205, 254

1. What is the GCD of 39, 691, 420, 632?

GCD of 39, 691, 420, 632 is 1

2. Where do I get the detailed procedure to find GCD of 39, 691, 420, 632?

You can find a detailed procedure to find GCD of 39, 691, 420, 632 on our page.

3. How to find GCD of 39, 691, 420, 632 on a calculator?

You can find the GCD of 39, 691, 420, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.