GCD of 211, 152, 46, 420 Calculator

Given Input numbers are 211, 152, 46, 420

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

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 211, 152, 46, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 152, 46, 420 is 1.

Therefore, GCD of numbers 211, 152, 46, 420 is 1

Given Input Data is 211, 152, 46, 420

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

Prime Factorization of 211 is 211

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 46 is 2 x 23

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(211, 152) = 32072

GCD(211, 152) = ( 211 x 152 ) / 32072

GCD(211, 152) = 32072 / 32072

GCD(211, 152) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 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 211, 152, 46, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 205, 51, 351
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• GCD of 459, 951, 66, 200
• GCD of 858, 539, 26, 375
• GCD of 960, 620, 59, 260

1. What is the GCD of 211, 152, 46, 420?

GCD of 211, 152, 46, 420 is 1

2. Where do I get the detailed procedure to find GCD of 211, 152, 46, 420?

You can find a detailed procedure to find GCD of 211, 152, 46, 420 on our page.

3. How to find GCD of 211, 152, 46, 420 on a calculator?

You can find the GCD of 211, 152, 46, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.