GCD of 150, 354, 506, 205 Calculator

Given Input numbers are 150, 354, 506, 205

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (150, 354, 506, 205) = 1.

Given numbers are 150, 354, 506, 205

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 506 are 2 x 11 x 23

Prime factors of 205 are 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 150, 354, 506, 205

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

Apply this formula for all numbers.

Step1:

LCM(150, 354) = 8850

GCD(150, 354) = ( 150 x 354 ) / 8850

= 150 / 354

= 150

Step2:

LCM(6, 506) = 1518

GCD(6, 506) = ( 6 x 506 ) / 1518

= 6 / 506

= 6

Step3:

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

= 2 / 205

= 2

So, Greatest Common Divisor of 150, 354, 506, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 951, 638, 376
• GCD of 347, 425, 124, 304
• GCD of 228, 338, 108, 769
• GCD of 424, 336, 381, 491
• GCD of 765, 958, 400, 228

Given numbers are 150, 354, 506, 205
The greatest common divisor of numbers 150, 354, 506, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 354, 506, 205 is 1.

1. What is the GCD of 150, 354, 506, 205?

GCD of given numbers 150, 354, 506, 205 is 1

2. How to calculate the greatest common divisor of 150, 354, 506, 205?

We can find the highest common divisor of 150, 354, 506, 205 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, 354, 506, 205 i.e 1.

3. How can I use the GCD of 150, 354, 506, 205Calculator?

Out the numbers 150, 354, 506, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.