GCD of 462, 175, 492, 508 Calculator

Given Input numbers are 462, 175, 492, 508

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (462, 175, 492, 508) = 1.

Given numbers are 462, 175, 492, 508

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 175 are 5 x 5 x 7

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 462, 175, 492, 508

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

Apply this formula for all numbers.

Step1:

LCM(462, 175) = 11550

GCD(462, 175) = ( 462 x 175 ) / 11550

= 462 / 175

= 462

Step2:

LCM(7, 492) = 3444

GCD(7, 492) = ( 7 x 492 ) / 3444

= 7 / 492

= 7

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 462, 175, 492, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 663, 978, 493
• GCD of 200, 770, 347, 770
• GCD of 372, 255, 414, 798
• GCD of 169, 730, 411, 167
• GCD of 756, 173, 290, 366

Given numbers are 462, 175, 492, 508
The greatest common divisor of numbers 462, 175, 492, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 175, 492, 508 is 1.

1. What is the GCD of 462, 175, 492, 508?

GCD of given numbers 462, 175, 492, 508 is 1

2. How to calculate the greatest common divisor of 462, 175, 492, 508?

We can find the highest common divisor of 462, 175, 492, 508 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 462, 175, 492, 508 i.e 1.

3. How can I use the GCD of 462, 175, 492, 508Calculator?

Out the numbers 462, 175, 492, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.