GCD of 820, 644, 918, 100 Calculator

Given Input numbers are 820, 644, 918, 100

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 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 (820, 644, 918, 100) = 2.

Given numbers are 820, 644, 918, 100

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 644 are 2 x 2 x 7 x 23

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

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

The highest common occurrence is 2¹

Therefore, GCD of 820, 644, 918, 100 is 2.

Given numbers are 820, 644, 918, 100

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

Apply this formula for all numbers.

Step1:

LCM(820, 644) = 132020

GCD(820, 644) = ( 820 x 644 ) / 132020

= 820 / 644

= 820

Step2:

LCM(4, 918) = 1836

GCD(4, 918) = ( 4 x 918 ) / 1836

= 4 / 918

= 4

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 820, 644, 918, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 102, 176, 820
• GCD of 585, 384, 714, 563
• GCD of 459, 120, 125, 221
• GCD of 163, 272, 264, 211
• GCD of 920, 668, 143, 834

Given numbers are 820, 644, 918, 100
The greatest common divisor of numbers 820, 644, 918, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 644, 918, 100 is 2.

1. What is the GCD of 820, 644, 918, 100?

GCD of given numbers 820, 644, 918, 100 is 2

2. How to calculate the greatest common divisor of 820, 644, 918, 100?

We can find the highest common divisor of 820, 644, 918, 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 820, 644, 918, 100 i.e 2.

3. How can I use the GCD of 820, 644, 918, 100Calculator?

Out the numbers 820, 644, 918, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.