GCD of 100, 531, 77, 736 Calculator

Given Input numbers are 100, 531, 77, 736

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 100, 531, 77, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 531, 77, 736 is 1.

Therefore, GCD of numbers 100, 531, 77, 736 is 1

Given Input Data is 100, 531, 77, 736

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 77 is 7 x 11

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(100, 531) = 53100

GCD(100, 531) = ( 100 x 531 ) / 53100

GCD(100, 531) = 53100 / 53100

GCD(100, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 100, 531, 77, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 283, 74, 755
• GCD of 440, 536, 48, 743
• GCD of 644, 489, 44, 347
• GCD of 533, 586, 56, 729
• GCD of 541, 621, 39, 339

1. What is the GCD of 100, 531, 77, 736?

GCD of 100, 531, 77, 736 is 1

2. Where do I get the detailed procedure to find GCD of 100, 531, 77, 736?

You can find a detailed procedure to find GCD of 100, 531, 77, 736 on our page.

3. How to find GCD of 100, 531, 77, 736 on a calculator?

You can find the GCD of 100, 531, 77, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.