GCD of 150, 638, 530, 102 Calculator

Given Input numbers are 150, 638, 530, 102

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

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 638 :

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

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (150, 638, 530, 102) = 2.

Given numbers are 150, 638, 530, 102

The list of prime factors of all numbers are

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

Prime factors of 638 are 2 x 11 x 29

Prime factors of 530 are 2 x 5 x 53

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 150, 638, 530, 102 is 2.

Given numbers are 150, 638, 530, 102

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

Apply this formula for all numbers.

Step1:

LCM(150, 638) = 47850

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

= 150 / 638

= 150

Step2:

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

= 2 / 530

= 2

Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

So, Greatest Common Divisor of 150, 638, 530, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 369, 642, 901
• GCD of 286, 498, 721, 713
• GCD of 608, 978, 623, 412
• GCD of 111, 732, 882, 805
• GCD of 529, 177, 328, 545

Given numbers are 150, 638, 530, 102
The greatest common divisor of numbers 150, 638, 530, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 638, 530, 102 is 2.

1. What is the GCD of 150, 638, 530, 102?

GCD of given numbers 150, 638, 530, 102 is 2

2. How to calculate the greatest common divisor of 150, 638, 530, 102?

We can find the highest common divisor of 150, 638, 530, 102 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 150, 638, 530, 102 i.e 2.

3. How can I use the GCD of 150, 638, 530, 102Calculator?

Out the numbers 150, 638, 530, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.