GCD of 420, 643, 149, 906 Calculator

Given Input numbers are 420, 643, 149, 906

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 420, 643, 149, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 643, 149, 906 is 1.

Therefore, GCD of numbers 420, 643, 149, 906 is 1

Given Input Data is 420, 643, 149, 906

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 643 is 643

Prime Factorization of 149 is 149

Prime Factorization of 906 is 2 x 3 x 151

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, 643) = 270060

GCD(420, 643) = ( 420 x 643 ) / 270060

GCD(420, 643) = 270060 / 270060

GCD(420, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 420, 643, 149, 906 is 1

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1. What is the GCD of 420, 643, 149, 906?

GCD of 420, 643, 149, 906 is 1

2. Where do I get the detailed procedure to find GCD of 420, 643, 149, 906?

You can find a detailed procedure to find GCD of 420, 643, 149, 906 on our page.

3. How to find GCD of 420, 643, 149, 906 on a calculator?

You can find the GCD of 420, 643, 149, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.