GCD of 62, 464, 100, 400 Calculator

Given Input numbers are 62, 464, 100, 400

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

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 62, 464, 100, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 464, 100, 400 is 2.

Therefore, GCD of numbers 62, 464, 100, 400 is 2

Given Input Data is 62, 464, 100, 400

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

Prime Factorization of 62 is 2 x 31

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(62, 464) = 14384

GCD(62, 464) = ( 62 x 464 ) / 14384

GCD(62, 464) = 28768 / 14384

GCD(62, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 400

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

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

GCD(2, 400) = 800 / 400

GCD(2, 400) = 2

GCD of 62, 464, 100, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 220, 582, 409
• GCD of 52, 899, 130, 150
• GCD of 37, 123, 952, 343
• GCD of 53, 344, 189, 633
• GCD of 79, 344, 931, 160

1. What is the GCD of 62, 464, 100, 400?

GCD of 62, 464, 100, 400 is 2

2. Where do I get the detailed procedure to find GCD of 62, 464, 100, 400?

You can find a detailed procedure to find GCD of 62, 464, 100, 400 on our page.

3. How to find GCD of 62, 464, 100, 400 on a calculator?

You can find the GCD of 62, 464, 100, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.