GCD of 420, 954, 910, 207 Calculator

Given Input numbers are 420, 954, 910, 207

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 420, 954, 910, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 954, 910, 207 is 1.

Therefore, GCD of numbers 420, 954, 910, 207 is 1

Given Input Data is 420, 954, 910, 207

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 207 is 3 x 3 x 23

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, 954) = 66780

GCD(420, 954) = ( 420 x 954 ) / 66780

GCD(420, 954) = 400680 / 66780

GCD(420, 954) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 910

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

LCM(6, 910) = 2730

GCD(6, 910) = ( 6 x 910 ) / 2730

GCD(6, 910) = 5460 / 2730

GCD(6, 910) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

GCD of 420, 954, 910, 207 is 1

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1. What is the GCD of 420, 954, 910, 207?

GCD of 420, 954, 910, 207 is 1

2. Where do I get the detailed procedure to find GCD of 420, 954, 910, 207?

You can find a detailed procedure to find GCD of 420, 954, 910, 207 on our page.

3. How to find GCD of 420, 954, 910, 207 on a calculator?

You can find the GCD of 420, 954, 910, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.