GCD of 638, 150, 100, 856 Calculator

Given Input numbers are 638, 150, 100, 856

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

GCD of numbers is the greatest common divisor

So, the GCD (638, 150, 100, 856) = 2.

Given numbers are 638, 150, 100, 856

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 150 are 2 x 3 x 5 x 5

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

Prime factors of 856 are 2 x 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 638, 150, 100, 856 is 2.

Given numbers are 638, 150, 100, 856

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

Apply this formula for all numbers.

Step1:

LCM(638, 150) = 47850

GCD(638, 150) = ( 638 x 150 ) / 47850

= 638 / 150

= 638

Step2:

LCM(2, 100) = 100

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

= 2 / 100

= 2

Step3:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2

So, Greatest Common Divisor of 638, 150, 100, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 966, 359, 766
• GCD of 786, 941, 478, 374
• GCD of 379, 484, 412, 842
• GCD of 869, 126, 249, 116
• GCD of 153, 854, 758, 644

Given numbers are 638, 150, 100, 856
The greatest common divisor of numbers 638, 150, 100, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 150, 100, 856 is 2.

1. What is the GCD of 638, 150, 100, 856?

GCD of given numbers 638, 150, 100, 856 is 2

2. How to calculate the greatest common divisor of 638, 150, 100, 856?

We can find the highest common divisor of 638, 150, 100, 856 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 638, 150, 100, 856 i.e 2.

3. How can I use the GCD of 638, 150, 100, 856Calculator?

Out the numbers 638, 150, 100, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.