GCD of 109, 107, 100, 822 Calculator

Given Input numbers are 109, 107, 100, 822

In the factoring method, we have to find the divisors of all numbers

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (109, 107, 100, 822) = 1.

Given numbers are 109, 107, 100, 822

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 107 are 107

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 822 are 2 x 3 x 137

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 109, 107, 100, 822

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(109, 107) = 11663

GCD(109, 107) = ( 109 x 107 ) / 11663

= 109 / 107

= 109

Step2:

LCM(1, 100) = 100

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

= 1 / 100

= 1

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 109, 107, 100, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 388, 714, 446
• GCD of 156, 252, 326, 248
• GCD of 572, 130, 506, 834
• GCD of 231, 791, 816, 797
• GCD of 639, 641, 188, 337

Given numbers are 109, 107, 100, 822
The greatest common divisor of numbers 109, 107, 100, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 107, 100, 822 is 1.

1. What is the GCD of 109, 107, 100, 822?

GCD of given numbers 109, 107, 100, 822 is 1

2. How to calculate the greatest common divisor of 109, 107, 100, 822?

We can find the highest common divisor of 109, 107, 100, 822 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 109, 107, 100, 822 i.e 1.

3. How can I use the GCD of 109, 107, 100, 822Calculator?

Out the numbers 109, 107, 100, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.