GCD of 100, 918, 50, 817 Calculator

Given Input numbers are 100, 918, 50, 817

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

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

GCD of numbers is the greatest common divisor

So, the GCD (100, 918, 50, 817) = 1.

Given numbers are 100, 918, 50, 817

The list of prime factors of all numbers are

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 50 are 2 x 5 x 5

Prime factors of 817 are 19 x 43

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

Given numbers are 100, 918, 50, 817

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

Apply this formula for all numbers.

Step1:

LCM(100, 918) = 45900

GCD(100, 918) = ( 100 x 918 ) / 45900

= 100 / 918

= 100

Step2:

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

= 2 / 50

= 2

Step3:

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

= 2 / 817

= 2

So, Greatest Common Divisor of 100, 918, 50, 817 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 837, 28, 511
• GCD of 424, 811, 12, 404
• GCD of 502, 443, 16, 768
• GCD of 497, 783, 62, 184
• GCD of 120, 411, 95, 739

Given numbers are 100, 918, 50, 817
The greatest common divisor of numbers 100, 918, 50, 817 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 918, 50, 817 is 1.

1. What is the GCD of 100, 918, 50, 817?

GCD of given numbers 100, 918, 50, 817 is 1

2. How to calculate the greatest common divisor of 100, 918, 50, 817?

We can find the highest common divisor of 100, 918, 50, 817 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 100, 918, 50, 817 i.e 1.

3. How can I use the GCD of 100, 918, 50, 817Calculator?

Out the numbers 100, 918, 50, 817 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.