GCD of 522, 708, 456, 152 Calculator

Given Input numbers are 522, 708, 456, 152

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 522, 708, 456, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 708, 456, 152 is 2.

Therefore, GCD of numbers 522, 708, 456, 152 is 2

Given Input Data is 522, 708, 456, 152

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(522, 708) = 61596

GCD(522, 708) = ( 522 x 708 ) / 61596

GCD(522, 708) = 369576 / 61596

GCD(522, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 456

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

LCM(6, 456) = 456

GCD(6, 456) = ( 6 x 456 ) / 456

GCD(6, 456) = 2736 / 456

GCD(6, 456) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 152

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

LCM(6, 152) = 456

GCD(6, 152) = ( 6 x 152 ) / 456

GCD(6, 152) = 912 / 456

GCD(6, 152) = 2

GCD of 522, 708, 456, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 634, 523, 581
• GCD of 560, 121, 772, 521
• GCD of 814, 538, 830, 627
• GCD of 919, 924, 341, 329
• GCD of 318, 851, 981, 482

1. What is the GCD of 522, 708, 456, 152?

GCD of 522, 708, 456, 152 is 2

2. Where do I get the detailed procedure to find GCD of 522, 708, 456, 152?

You can find a detailed procedure to find GCD of 522, 708, 456, 152 on our page.

3. How to find GCD of 522, 708, 456, 152 on a calculator?

You can find the GCD of 522, 708, 456, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.