GCD of 172, 286, 16, 731 Calculator

Given Input numbers are 172, 286, 16, 731

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (172, 286, 16, 731) = 1.

Given numbers are 172, 286, 16, 731

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 286 are 2 x 11 x 13

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 731 are 17 x 43

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

Given numbers are 172, 286, 16, 731

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

Apply this formula for all numbers.

Step1:

LCM(172, 286) = 24596

GCD(172, 286) = ( 172 x 286 ) / 24596

= 172 / 286

= 172

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

Step3:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

So, Greatest Common Divisor of 172, 286, 16, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 495, 84, 671
• GCD of 728, 329, 48, 211
• GCD of 951, 503, 35, 444
• GCD of 794, 984, 47, 987
• GCD of 545, 175, 82, 444

Given numbers are 172, 286, 16, 731
The greatest common divisor of numbers 172, 286, 16, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 286, 16, 731 is 1.

1. What is the GCD of 172, 286, 16, 731?

GCD of given numbers 172, 286, 16, 731 is 1

2. How to calculate the greatest common divisor of 172, 286, 16, 731?

We can find the highest common divisor of 172, 286, 16, 731 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 172, 286, 16, 731 i.e 1.

3. How can I use the GCD of 172, 286, 16, 731Calculator?

Out the numbers 172, 286, 16, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.