GCD of 506, 721, 704, 543 Calculator

Given Input numbers are 506, 721, 704, 543

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (506, 721, 704, 543) = 1.

Given numbers are 506, 721, 704, 543

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 721 are 7 x 103

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 543 are 3 x 181

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

Given numbers are 506, 721, 704, 543

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

Apply this formula for all numbers.

Step1:

LCM(506, 721) = 364826

GCD(506, 721) = ( 506 x 721 ) / 364826

= 506 / 721

= 506

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

= 1 / 543

= 1

So, Greatest Common Divisor of 506, 721, 704, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 913, 730, 234
• GCD of 713, 787, 955, 806
• GCD of 630, 362, 357, 737
• GCD of 307, 564, 423, 329
• GCD of 235, 271, 682, 374

Given numbers are 506, 721, 704, 543
The greatest common divisor of numbers 506, 721, 704, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 721, 704, 543 is 1.

1. What is the GCD of 506, 721, 704, 543?

GCD of given numbers 506, 721, 704, 543 is 1

2. How to calculate the greatest common divisor of 506, 721, 704, 543?

We can find the highest common divisor of 506, 721, 704, 543 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, 721, 704, 543 i.e 1.

3. How can I use the GCD of 506, 721, 704, 543Calculator?

Out the numbers 506, 721, 704, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.