GCD of 291, 216, 107, 100 Calculator

Given Input numbers are 291, 216, 107, 100

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

GCD of numbers is the greatest common divisor

So, the GCD (291, 216, 107, 100) = 1.

Given numbers are 291, 216, 107, 100

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 107 are 107

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

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

Given numbers are 291, 216, 107, 100

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

Apply this formula for all numbers.

Step1:

LCM(291, 216) = 20952

GCD(291, 216) = ( 291 x 216 ) / 20952

= 291 / 216

= 291

Step2:

LCM(3, 107) = 321

GCD(3, 107) = ( 3 x 107 ) / 321

= 3 / 107

= 3

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 291, 216, 107, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 591, 460, 594
• GCD of 883, 876, 441, 597
• GCD of 436, 420, 756, 675
• GCD of 675, 852, 128, 895
• GCD of 123, 106, 889, 756

Given numbers are 291, 216, 107, 100
The greatest common divisor of numbers 291, 216, 107, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 216, 107, 100 is 1.

1. What is the GCD of 291, 216, 107, 100?

GCD of given numbers 291, 216, 107, 100 is 1

2. How to calculate the greatest common divisor of 291, 216, 107, 100?

We can find the highest common divisor of 291, 216, 107, 100 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 291, 216, 107, 100 i.e 1.

3. How can I use the GCD of 291, 216, 107, 100Calculator?

Out the numbers 291, 216, 107, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.