GCD of 506, 688, 465, 577 Calculator

Given Input numbers are 506, 688, 465, 577

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

GCD of numbers is the greatest common divisor

So, the GCD (506, 688, 465, 577) = 1.

Given numbers are 506, 688, 465, 577

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 465 are 3 x 5 x 31

Prime factors of 577 are 577

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

Given numbers are 506, 688, 465, 577

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

Apply this formula for all numbers.

Step1:

LCM(506, 688) = 174064

GCD(506, 688) = ( 506 x 688 ) / 174064

= 506 / 688

= 506

Step2:

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

= 2 / 465

= 2

Step3:

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

= 1 / 577

= 1

So, Greatest Common Divisor of 506, 688, 465, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 607, 173, 711
• GCD of 778, 302, 816, 928
• GCD of 254, 927, 106, 325
• GCD of 863, 978, 149, 731
• GCD of 687, 717, 965, 320

Given numbers are 506, 688, 465, 577
The greatest common divisor of numbers 506, 688, 465, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 688, 465, 577 is 1.

1. What is the GCD of 506, 688, 465, 577?

GCD of given numbers 506, 688, 465, 577 is 1

2. How to calculate the greatest common divisor of 506, 688, 465, 577?

We can find the highest common divisor of 506, 688, 465, 577 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 506, 688, 465, 577 i.e 1.

3. How can I use the GCD of 506, 688, 465, 577Calculator?

Out the numbers 506, 688, 465, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.