GCD of 242, 418, 644, 100 Calculator

Given Input numbers are 242, 418, 644, 100

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

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 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 (242, 418, 644, 100) = 2.

Given numbers are 242, 418, 644, 100

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 418 are 2 x 11 x 19

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

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

The highest common occurrence is 2¹

Therefore, GCD of 242, 418, 644, 100 is 2.

Given numbers are 242, 418, 644, 100

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

Apply this formula for all numbers.

Step1:

LCM(242, 418) = 4598

GCD(242, 418) = ( 242 x 418 ) / 4598

= 242 / 418

= 242

Step2:

LCM(22, 644) = 7084

GCD(22, 644) = ( 22 x 644 ) / 7084

= 22 / 644

= 22

Step3:

LCM(2, 100) = 100

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

= 2 / 100

= 2

So, Greatest Common Divisor of 242, 418, 644, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 960, 701, 499
• GCD of 650, 369, 784, 494
• GCD of 661, 672, 946, 539
• GCD of 987, 247, 779, 182
• GCD of 213, 565, 415, 471

Given numbers are 242, 418, 644, 100
The greatest common divisor of numbers 242, 418, 644, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 418, 644, 100 is 2.

1. What is the GCD of 242, 418, 644, 100?

GCD of given numbers 242, 418, 644, 100 is 2

2. How to calculate the greatest common divisor of 242, 418, 644, 100?

We can find the highest common divisor of 242, 418, 644, 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 242, 418, 644, 100 i.e 2.

3. How can I use the GCD of 242, 418, 644, 100Calculator?

Out the numbers 242, 418, 644, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.