GCD of 420, 954, 526, 415 Calculator

Given Input numbers are 420, 954, 526, 415

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 526

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

1, 2, 263, 526

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 420, 954, 526, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 954, 526, 415 is 1.

Therefore, GCD of numbers 420, 954, 526, 415 is 1

Given Input Data is 420, 954, 526, 415

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 526 is 2 x 263

Prime Factorization of 415 is 5 x 83

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, 954) = 66780

GCD(420, 954) = ( 420 x 954 ) / 66780

GCD(420, 954) = 400680 / 66780

GCD(420, 954) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 526

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

LCM(6, 526) = 1578

GCD(6, 526) = ( 6 x 526 ) / 1578

GCD(6, 526) = 3156 / 1578

GCD(6, 526) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 415

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

LCM(2, 415) = 830

GCD(2, 415) = ( 2 x 415 ) / 830

GCD(2, 415) = 830 / 830

GCD(2, 415) = 1

GCD of 420, 954, 526, 415 is 1

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• GCD of 616, 285, 168, 288
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• GCD of 706, 120, 366, 339

1. What is the GCD of 420, 954, 526, 415?

GCD of 420, 954, 526, 415 is 1

2. Where do I get the detailed procedure to find GCD of 420, 954, 526, 415?

You can find a detailed procedure to find GCD of 420, 954, 526, 415 on our page.

3. How to find GCD of 420, 954, 526, 415 on a calculator?

You can find the GCD of 420, 954, 526, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.