GCD of 756, 507, 985, 282 Calculator

Given Input numbers are 756, 507, 985, 282

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 756, 507, 985, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 507, 985, 282 is 1.

Therefore, GCD of numbers 756, 507, 985, 282 is 1

Given Input Data is 756, 507, 985, 282

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 985 is 5 x 197

Prime Factorization of 282 is 2 x 3 x 47

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(756, 507) = 127764

GCD(756, 507) = ( 756 x 507 ) / 127764

GCD(756, 507) = 383292 / 127764

GCD(756, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 985

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

LCM(3, 985) = 2955

GCD(3, 985) = ( 3 x 985 ) / 2955

GCD(3, 985) = 2955 / 2955

GCD(3, 985) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 756, 507, 985, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 450, 695, 336
• GCD of 921, 868, 472, 417
• GCD of 874, 239, 705, 155
• GCD of 274, 265, 775, 573
• GCD of 627, 374, 303, 544

1. What is the GCD of 756, 507, 985, 282?

GCD of 756, 507, 985, 282 is 1

2. Where do I get the detailed procedure to find GCD of 756, 507, 985, 282?

You can find a detailed procedure to find GCD of 756, 507, 985, 282 on our page.

3. How to find GCD of 756, 507, 985, 282 on a calculator?

You can find the GCD of 756, 507, 985, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.