GCD of 468, 172, 35, 523 Calculator

Given Input numbers are 468, 172, 35, 523

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (468, 172, 35, 523) = 1.

Given numbers are 468, 172, 35, 523

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 172 are 2 x 2 x 43

Prime factors of 35 are 5 x 7

Prime factors of 523 are 523

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

Given numbers are 468, 172, 35, 523

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

Apply this formula for all numbers.

Step1:

LCM(468, 172) = 20124

GCD(468, 172) = ( 468 x 172 ) / 20124

= 468 / 172

= 468

Step2:

LCM(4, 35) = 140

GCD(4, 35) = ( 4 x 35 ) / 140

= 4 / 35

= 4

Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 468, 172, 35, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 184, 76, 813
• GCD of 836, 200, 81, 404
• GCD of 978, 389, 72, 621
• GCD of 418, 574, 83, 840
• GCD of 309, 508, 83, 322

Given numbers are 468, 172, 35, 523
The greatest common divisor of numbers 468, 172, 35, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 172, 35, 523 is 1.

1. What is the GCD of 468, 172, 35, 523?

GCD of given numbers 468, 172, 35, 523 is 1

2. How to calculate the greatest common divisor of 468, 172, 35, 523?

We can find the highest common divisor of 468, 172, 35, 523 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 468, 172, 35, 523 i.e 1.

3. How can I use the GCD of 468, 172, 35, 523Calculator?

Out the numbers 468, 172, 35, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.