GCD of 464, 662, 70, 400 Calculator

Given Input numbers are 464, 662, 70, 400

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

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 464, 662, 70, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 662, 70, 400 is 2.

Therefore, GCD of numbers 464, 662, 70, 400 is 2

Given Input Data is 464, 662, 70, 400

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

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 70 is 2 x 5 x 7

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(464, 662) = 153584

GCD(464, 662) = ( 464 x 662 ) / 153584

GCD(464, 662) = 307168 / 153584

GCD(464, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 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 464, 662, 70, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 855, 81, 354
• GCD of 309, 710, 29, 331
• GCD of 137, 644, 26, 202
• GCD of 460, 172, 18, 473
• GCD of 870, 811, 42, 774

1. What is the GCD of 464, 662, 70, 400?

GCD of 464, 662, 70, 400 is 2

2. Where do I get the detailed procedure to find GCD of 464, 662, 70, 400?

You can find a detailed procedure to find GCD of 464, 662, 70, 400 on our page.

3. How to find GCD of 464, 662, 70, 400 on a calculator?

You can find the GCD of 464, 662, 70, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.