GCD of 852, 358, 496, 745 Calculator

Given Input numbers are 852, 358, 496, 745

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 852, 358, 496, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 358, 496, 745 is 1.

Therefore, GCD of numbers 852, 358, 496, 745 is 1

Given Input Data is 852, 358, 496, 745

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 358 is 2 x 179

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 745 is 5 x 149

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(852, 358) = 152508

GCD(852, 358) = ( 852 x 358 ) / 152508

GCD(852, 358) = 305016 / 152508

GCD(852, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

GCD of 852, 358, 496, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 472, 242, 660
• GCD of 560, 189, 878, 470
• GCD of 745, 132, 729, 761
• GCD of 188, 492, 854, 596
• GCD of 813, 339, 972, 749

1. What is the GCD of 852, 358, 496, 745?

GCD of 852, 358, 496, 745 is 1

2. Where do I get the detailed procedure to find GCD of 852, 358, 496, 745?

You can find a detailed procedure to find GCD of 852, 358, 496, 745 on our page.

3. How to find GCD of 852, 358, 496, 745 on a calculator?

You can find the GCD of 852, 358, 496, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.