GCD of 101, 100, 882, 691 Calculator

Given Input numbers are 101, 100, 882, 691

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 101, 100, 882, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 100, 882, 691 is 1.

Therefore, GCD of numbers 101, 100, 882, 691 is 1

Given Input Data is 101, 100, 882, 691

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

Prime Factorization of 101 is 101

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 691 is 691

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(101, 100) = 10100

GCD(101, 100) = ( 101 x 100 ) / 10100

GCD(101, 100) = 10100 / 10100

GCD(101, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 101, 100, 882, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 740, 321, 213
• GCD of 243, 413, 417, 483
• GCD of 361, 859, 411, 690
• GCD of 341, 796, 808, 780
• GCD of 810, 173, 748, 505

1. What is the GCD of 101, 100, 882, 691?

GCD of 101, 100, 882, 691 is 1

2. Where do I get the detailed procedure to find GCD of 101, 100, 882, 691?

You can find a detailed procedure to find GCD of 101, 100, 882, 691 on our page.

3. How to find GCD of 101, 100, 882, 691 on a calculator?

You can find the GCD of 101, 100, 882, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.