GCD of 420, 699, 272, 962 Calculator

Given Input numbers are 420, 699, 272, 962

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

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 420, 699, 272, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 699, 272, 962 is 1.

Therefore, GCD of numbers 420, 699, 272, 962 is 1

Given Input Data is 420, 699, 272, 962

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

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 962 is 2 x 13 x 37

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(420, 699) = 97860

GCD(420, 699) = ( 420 x 699 ) / 97860

GCD(420, 699) = 293580 / 97860

GCD(420, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 272

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

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

GCD(3, 272) = 816 / 816

GCD(3, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 420, 699, 272, 962 is 1

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1. What is the GCD of 420, 699, 272, 962?

GCD of 420, 699, 272, 962 is 1

2. Where do I get the detailed procedure to find GCD of 420, 699, 272, 962?

You can find a detailed procedure to find GCD of 420, 699, 272, 962 on our page.

3. How to find GCD of 420, 699, 272, 962 on a calculator?

You can find the GCD of 420, 699, 272, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.