GCD of 171, 512, 742 Calculator

Given Input numbers are 171, 512, 742

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (171, 512, 742) = 1.

Given numbers are 171, 512, 742

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 171, 512, 742

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

Apply this formula for all numbers.

Step1:

LCM(171, 512) = 87552

GCD(171, 512) = ( 171 x 512 ) / 87552

= 171 / 512

= 171

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 171, 512, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 937, 254
• GCD of 867, 929, 100
• GCD of 978, 869, 382
• GCD of 361, 596, 859
• GCD of 819, 675, 374

Given numbers are 171, 512, 742
The greatest common divisor of numbers 171, 512, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 512, 742 is 1.

1. What is the GCD of 171, 512, 742?

GCD of given numbers 171, 512, 742 is 1

2. How to calculate the greatest common divisor of 171, 512, 742?

We can find the highest common divisor of 171, 512, 742 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 171, 512, 742 i.e 1.

3. How can I use the GCD of 171, 512, 742Calculator?

Out the numbers 171, 512, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.