GCD of 713, 320, 420, 506 Calculator

Given Input numbers are 713, 320, 420, 506

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 506 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (713, 320, 420, 506) = 1.

Given numbers are 713, 320, 420, 506

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 713, 320, 420, 506

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

Apply this formula for all numbers.

Step1:

LCM(713, 320) = 228160

GCD(713, 320) = ( 713 x 320 ) / 228160

= 713 / 320

= 713

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

So, Greatest Common Divisor of 713, 320, 420, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 253, 125, 219
• GCD of 893, 596, 817, 391
• GCD of 109, 763, 511, 355
• GCD of 631, 898, 176, 503
• GCD of 882, 697, 584, 351

Given numbers are 713, 320, 420, 506
The greatest common divisor of numbers 713, 320, 420, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 320, 420, 506 is 1.

1. What is the GCD of 713, 320, 420, 506?

GCD of given numbers 713, 320, 420, 506 is 1

2. How to calculate the greatest common divisor of 713, 320, 420, 506?

We can find the highest common divisor of 713, 320, 420, 506 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 713, 320, 420, 506 i.e 1.

3. How can I use the GCD of 713, 320, 420, 506Calculator?

Out the numbers 713, 320, 420, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.