GCD of 150, 502, 498, 422 Calculator

Given Input numbers are 150, 502, 498, 422

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 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (150, 502, 498, 422) = 2.

Given numbers are 150, 502, 498, 422

The list of prime factors of all numbers are

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

Prime factors of 502 are 2 x 251

Prime factors of 498 are 2 x 3 x 83

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 150, 502, 498, 422 is 2.

Given numbers are 150, 502, 498, 422

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

Apply this formula for all numbers.

Step1:

LCM(150, 502) = 37650

GCD(150, 502) = ( 150 x 502 ) / 37650

= 150 / 502

= 150

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 150, 502, 498, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 856, 162, 252
• GCD of 580, 988, 966, 233
• GCD of 448, 219, 700, 996
• GCD of 351, 570, 943, 253
• GCD of 405, 818, 799, 695

Given numbers are 150, 502, 498, 422
The greatest common divisor of numbers 150, 502, 498, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 502, 498, 422 is 2.

1. What is the GCD of 150, 502, 498, 422?

GCD of given numbers 150, 502, 498, 422 is 2

2. How to calculate the greatest common divisor of 150, 502, 498, 422?

We can find the highest common divisor of 150, 502, 498, 422 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, 502, 498, 422 i.e 2.

3. How can I use the GCD of 150, 502, 498, 422Calculator?

Out the numbers 150, 502, 498, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.