GCD of 220, 420, 375, 406 Calculator

Given Input numbers are 220, 420, 375, 406

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 220, 420, 375, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 420, 375, 406 is 1.

Therefore, GCD of numbers 220, 420, 375, 406 is 1

Given Input Data is 220, 420, 375, 406

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 406 is 2 x 7 x 29

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(220, 420) = 4620

GCD(220, 420) = ( 220 x 420 ) / 4620

GCD(220, 420) = 92400 / 4620

GCD(220, 420) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 375

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

LCM(20, 375) = 1500

GCD(20, 375) = ( 20 x 375 ) / 1500

GCD(20, 375) = 7500 / 1500

GCD(20, 375) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 406

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

LCM(5, 406) = 2030

GCD(5, 406) = ( 5 x 406 ) / 2030

GCD(5, 406) = 2030 / 2030

GCD(5, 406) = 1

GCD of 220, 420, 375, 406 is 1

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• GCD of 357, 502, 157, 164
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1. What is the GCD of 220, 420, 375, 406?

GCD of 220, 420, 375, 406 is 1

2. Where do I get the detailed procedure to find GCD of 220, 420, 375, 406?

You can find a detailed procedure to find GCD of 220, 420, 375, 406 on our page.

3. How to find GCD of 220, 420, 375, 406 on a calculator?

You can find the GCD of 220, 420, 375, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.