GCD of 506, 735, 76, 792 Calculator

Given Input numbers are 506, 735, 76, 792

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (506, 735, 76, 792) = 1.

Given numbers are 506, 735, 76, 792

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 76 are 2 x 2 x 19

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Given numbers are 506, 735, 76, 792

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

Apply this formula for all numbers.

Step1:

LCM(506, 735) = 371910

GCD(506, 735) = ( 506 x 735 ) / 371910

= 506 / 735

= 506

Step2:

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

= 1 / 76

= 1

Step3:

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

= 1 / 792

= 1

So, Greatest Common Divisor of 506, 735, 76, 792 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 782, 10, 253
• GCD of 612, 201, 35, 819
• GCD of 728, 880, 22, 487
• GCD of 322, 208, 51, 399
• GCD of 735, 587, 65, 674

Given numbers are 506, 735, 76, 792
The greatest common divisor of numbers 506, 735, 76, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 735, 76, 792 is 1.

1. What is the GCD of 506, 735, 76, 792?

GCD of given numbers 506, 735, 76, 792 is 1

2. How to calculate the greatest common divisor of 506, 735, 76, 792?

We can find the highest common divisor of 506, 735, 76, 792 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, 735, 76, 792 i.e 1.

3. How can I use the GCD of 506, 735, 76, 792Calculator?

Out the numbers 506, 735, 76, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.