GCD of 100, 763, 66, 853 Calculator

Given Input numbers are 100, 763, 66, 853

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 100, 763, 66, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 763, 66, 853 is 1.

Therefore, GCD of numbers 100, 763, 66, 853 is 1

Given Input Data is 100, 763, 66, 853

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 763 is 7 x 109

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 853 is 853

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, 763) = 76300

GCD(100, 763) = ( 100 x 763 ) / 76300

GCD(100, 763) = 76300 / 76300

GCD(100, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 100, 763, 66, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 928, 76, 525
• GCD of 623, 700, 55, 439
• GCD of 919, 979, 19, 296
• GCD of 667, 916, 88, 849
• GCD of 613, 277, 80, 794

1. What is the GCD of 100, 763, 66, 853?

GCD of 100, 763, 66, 853 is 1

2. Where do I get the detailed procedure to find GCD of 100, 763, 66, 853?

You can find a detailed procedure to find GCD of 100, 763, 66, 853 on our page.

3. How to find GCD of 100, 763, 66, 853 on a calculator?

You can find the GCD of 100, 763, 66, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.