GCD of 767, 543, 18, 100 Calculator

Given Input numbers are 767, 543, 18, 100

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 767, 543, 18, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 543, 18, 100 is 1.

Therefore, GCD of numbers 767, 543, 18, 100 is 1

Given Input Data is 767, 543, 18, 100

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 543 is 3 x 181

Prime Factorization of 18 is 2 x 3 x 3

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

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(767, 543) = 416481

GCD(767, 543) = ( 767 x 543 ) / 416481

GCD(767, 543) = 416481 / 416481

GCD(767, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 767, 543, 18, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 515, 81, 456
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• GCD of 742, 825, 62, 496
• GCD of 164, 960, 97, 183

1. What is the GCD of 767, 543, 18, 100?

GCD of 767, 543, 18, 100 is 1

2. Where do I get the detailed procedure to find GCD of 767, 543, 18, 100?

You can find a detailed procedure to find GCD of 767, 543, 18, 100 on our page.

3. How to find GCD of 767, 543, 18, 100 on a calculator?

You can find the GCD of 767, 543, 18, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.