GCD of 14, 741, 536, 986 Calculator

Given Input numbers are 14, 741, 536, 986

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

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 14, 741, 536, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 741, 536, 986 is 1.

Therefore, GCD of numbers 14, 741, 536, 986 is 1

Given Input Data is 14, 741, 536, 986

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 536 is 2 x 2 x 2 x 67

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(14, 741) = 10374

GCD(14, 741) = ( 14 x 741 ) / 10374

GCD(14, 741) = 10374 / 10374

GCD(14, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 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 14, 741, 536, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 738, 481, 434
• GCD of 67, 158, 228, 677
• GCD of 39, 651, 652, 676
• GCD of 32, 301, 362, 535
• GCD of 49, 727, 709, 519

1. What is the GCD of 14, 741, 536, 986?

GCD of 14, 741, 536, 986 is 1

2. Where do I get the detailed procedure to find GCD of 14, 741, 536, 986?

You can find a detailed procedure to find GCD of 14, 741, 536, 986 on our page.

3. How to find GCD of 14, 741, 536, 986 on a calculator?

You can find the GCD of 14, 741, 536, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.