GCD of 420, 380, 357, 853 Calculator

Given Input numbers are 420, 380, 357, 853

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 420, 380, 357, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 380, 357, 853 is 1.

Therefore, GCD of numbers 420, 380, 357, 853 is 1

Given Input Data is 420, 380, 357, 853

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 853 is 853

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, 380) = 7980

GCD(420, 380) = ( 420 x 380 ) / 7980

GCD(420, 380) = 159600 / 7980

GCD(420, 380) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 357

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

LCM(20, 357) = 7140

GCD(20, 357) = ( 20 x 357 ) / 7140

GCD(20, 357) = 7140 / 7140

GCD(20, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 420, 380, 357, 853 is 1

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1. What is the GCD of 420, 380, 357, 853?

GCD of 420, 380, 357, 853 is 1

2. Where do I get the detailed procedure to find GCD of 420, 380, 357, 853?

You can find a detailed procedure to find GCD of 420, 380, 357, 853 on our page.

3. How to find GCD of 420, 380, 357, 853 on a calculator?

You can find the GCD of 420, 380, 357, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.