GCD of 508, 299, 772, 667 Calculator

Given Input numbers are 508, 299, 772, 667

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

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

GCD of numbers is the greatest common divisor

So, the GCD (508, 299, 772, 667) = 1.

Given numbers are 508, 299, 772, 667

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 299 are 13 x 23

Prime factors of 772 are 2 x 2 x 193

Prime factors of 667 are 23 x 29

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

Given numbers are 508, 299, 772, 667

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

Apply this formula for all numbers.

Step1:

LCM(508, 299) = 151892

GCD(508, 299) = ( 508 x 299 ) / 151892

= 508 / 299

= 508

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

= 1 / 667

= 1

So, Greatest Common Divisor of 508, 299, 772, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 218, 818, 806
• GCD of 319, 901, 168, 422
• GCD of 409, 368, 362, 686
• GCD of 349, 859, 179, 193
• GCD of 379, 190, 245, 860

Given numbers are 508, 299, 772, 667
The greatest common divisor of numbers 508, 299, 772, 667 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 299, 772, 667 is 1.

1. What is the GCD of 508, 299, 772, 667?

GCD of given numbers 508, 299, 772, 667 is 1

2. How to calculate the greatest common divisor of 508, 299, 772, 667?

We can find the highest common divisor of 508, 299, 772, 667 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 508, 299, 772, 667 i.e 1.

3. How can I use the GCD of 508, 299, 772, 667Calculator?

Out the numbers 508, 299, 772, 667 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.