GCD of 756, 413, 69, 986 Calculator

Given Input numbers are 756, 413, 69, 986

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 756, 413, 69, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 413, 69, 986 is 1.

Therefore, GCD of numbers 756, 413, 69, 986 is 1

Given Input Data is 756, 413, 69, 986

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 413 is 7 x 59

Prime Factorization of 69 is 3 x 23

Prime Factorization of 986 is 2 x 17 x 29

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, 413) = 44604

GCD(756, 413) = ( 756 x 413 ) / 44604

GCD(756, 413) = 312228 / 44604

GCD(756, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 69

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

LCM(7, 69) = 483

GCD(7, 69) = ( 7 x 69 ) / 483

GCD(7, 69) = 483 / 483

GCD(7, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 756, 413, 69, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 614, 38, 515
• GCD of 226, 499, 88, 150
• GCD of 125, 654, 71, 470
• GCD of 192, 181, 33, 872
• GCD of 413, 233, 75, 161

1. What is the GCD of 756, 413, 69, 986?

GCD of 756, 413, 69, 986 is 1

2. Where do I get the detailed procedure to find GCD of 756, 413, 69, 986?

You can find a detailed procedure to find GCD of 756, 413, 69, 986 on our page.

3. How to find GCD of 756, 413, 69, 986 on a calculator?

You can find the GCD of 756, 413, 69, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.