GCD of 420, 731, 526, 961 Calculator

Given Input numbers are 420, 731, 526, 961

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 420, 731, 526, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 731, 526, 961 is 1.

Therefore, GCD of numbers 420, 731, 526, 961 is 1

Given Input Data is 420, 731, 526, 961

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 731 is 17 x 43

Prime Factorization of 526 is 2 x 263

Prime Factorization of 961 is 31 x 31

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, 731) = 307020

GCD(420, 731) = ( 420 x 731 ) / 307020

GCD(420, 731) = 307020 / 307020

GCD(420, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 420, 731, 526, 961 is 1

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1. What is the GCD of 420, 731, 526, 961?

GCD of 420, 731, 526, 961 is 1

2. Where do I get the detailed procedure to find GCD of 420, 731, 526, 961?

You can find a detailed procedure to find GCD of 420, 731, 526, 961 on our page.

3. How to find GCD of 420, 731, 526, 961 on a calculator?

You can find the GCD of 420, 731, 526, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.