GCD of 150, 545, 550, 398 Calculator

Given Input numbers are 150, 545, 550, 398

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 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (150, 545, 550, 398) = 1.

Given numbers are 150, 545, 550, 398

The list of prime factors of all numbers are

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

Prime factors of 545 are 5 x 109

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 398 are 2 x 199

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

Given numbers are 150, 545, 550, 398

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

Apply this formula for all numbers.

Step1:

LCM(150, 545) = 16350

GCD(150, 545) = ( 150 x 545 ) / 16350

= 150 / 545

= 150

Step2:

LCM(5, 550) = 550

GCD(5, 550) = ( 5 x 550 ) / 550

= 5 / 550

= 5

Step3:

LCM(5, 398) = 1990

GCD(5, 398) = ( 5 x 398 ) / 1990

= 5 / 398

= 5

So, Greatest Common Divisor of 150, 545, 550, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 263, 619, 967
• GCD of 557, 488, 385, 884
• GCD of 439, 491, 213, 233
• GCD of 626, 891, 961, 318
• GCD of 604, 879, 566, 768

Given numbers are 150, 545, 550, 398
The greatest common divisor of numbers 150, 545, 550, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 545, 550, 398 is 1.

1. What is the GCD of 150, 545, 550, 398?

GCD of given numbers 150, 545, 550, 398 is 1

2. How to calculate the greatest common divisor of 150, 545, 550, 398?

We can find the highest common divisor of 150, 545, 550, 398 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, 545, 550, 398 i.e 1.

3. How can I use the GCD of 150, 545, 550, 398Calculator?

Out the numbers 150, 545, 550, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.