GCD of 150, 298, 493, 172 Calculator

Given Input numbers are 150, 298, 493, 172

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (150, 298, 493, 172) = 1.

Given numbers are 150, 298, 493, 172

The list of prime factors of all numbers are

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

Prime factors of 298 are 2 x 149

Prime factors of 493 are 17 x 29

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 150, 298, 493, 172

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

Apply this formula for all numbers.

Step1:

LCM(150, 298) = 22350

GCD(150, 298) = ( 150 x 298 ) / 22350

= 150 / 298

= 150

Step2:

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

= 2 / 493

= 2

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 150, 298, 493, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 765, 245, 124
• GCD of 806, 373, 611, 792
• GCD of 948, 283, 878, 115
• GCD of 290, 671, 264, 773
• GCD of 127, 547, 844, 324

Given numbers are 150, 298, 493, 172
The greatest common divisor of numbers 150, 298, 493, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 298, 493, 172 is 1.

1. What is the GCD of 150, 298, 493, 172?

GCD of given numbers 150, 298, 493, 172 is 1

2. How to calculate the greatest common divisor of 150, 298, 493, 172?

We can find the highest common divisor of 150, 298, 493, 172 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, 298, 493, 172 i.e 1.

3. How can I use the GCD of 150, 298, 493, 172Calculator?

Out the numbers 150, 298, 493, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.