GCD of 420, 396, 92, 962 Calculator

Given Input numbers are 420, 396, 92, 962

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 420, 396, 92, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 396, 92, 962 is 2.

Therefore, GCD of numbers 420, 396, 92, 962 is 2

Given Input Data is 420, 396, 92, 962

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 962 is 2 x 13 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 396) = 13860

GCD(420, 396) = ( 420 x 396 ) / 13860

GCD(420, 396) = 166320 / 13860

GCD(420, 396) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 92

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

LCM(12, 92) = 276

GCD(12, 92) = ( 12 x 92 ) / 276

GCD(12, 92) = 1104 / 276

GCD(12, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 962

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

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

GCD(4, 962) = 3848 / 1924

GCD(4, 962) = 2

GCD of 420, 396, 92, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 216, 67, 962
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• GCD of 172, 481, 65, 556
• GCD of 260, 510, 10, 977
• GCD of 598, 615, 14, 481

1. What is the GCD of 420, 396, 92, 962?

GCD of 420, 396, 92, 962 is 2

2. Where do I get the detailed procedure to find GCD of 420, 396, 92, 962?

You can find a detailed procedure to find GCD of 420, 396, 92, 962 on our page.

3. How to find GCD of 420, 396, 92, 962 on a calculator?

You can find the GCD of 420, 396, 92, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.