GCD of 442, 970, 557, 420 Calculator

Given Input numbers are 442, 970, 557, 420

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

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

Greatest Common Divisior

We found the divisors of 442, 970, 557, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 970, 557, 420 is 1.

Therefore, GCD of numbers 442, 970, 557, 420 is 1

Given Input Data is 442, 970, 557, 420

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 557 is 557

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

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(442, 970) = 214370

GCD(442, 970) = ( 442 x 970 ) / 214370

GCD(442, 970) = 428740 / 214370

GCD(442, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 557

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

LCM(2, 557) = 1114

GCD(2, 557) = ( 2 x 557 ) / 1114

GCD(2, 557) = 1114 / 1114

GCD(2, 557) = 1

Step3:

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

GCD of 442, 970, 557, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 387, 380, 768
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• GCD of 350, 427, 822, 995
• GCD of 138, 348, 557, 428
• GCD of 752, 217, 571, 944

1. What is the GCD of 442, 970, 557, 420?

GCD of 442, 970, 557, 420 is 1

2. Where do I get the detailed procedure to find GCD of 442, 970, 557, 420?

You can find a detailed procedure to find GCD of 442, 970, 557, 420 on our page.

3. How to find GCD of 442, 970, 557, 420 on a calculator?

You can find the GCD of 442, 970, 557, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.