GCD of 106, 504, 320, 731 Calculator

Given Input numbers are 106, 504, 320, 731

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (106, 504, 320, 731) = 1.

Given numbers are 106, 504, 320, 731

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 731 are 17 x 43

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

Given numbers are 106, 504, 320, 731

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

Apply this formula for all numbers.

Step1:

LCM(106, 504) = 26712

GCD(106, 504) = ( 106 x 504 ) / 26712

= 106 / 504

= 106

Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

Step3:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

So, Greatest Common Divisor of 106, 504, 320, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 933, 728, 939
• GCD of 410, 280, 815, 334
• GCD of 330, 435, 798, 345
• GCD of 223, 407, 394, 101
• GCD of 754, 797, 157, 787

Given numbers are 106, 504, 320, 731
The greatest common divisor of numbers 106, 504, 320, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 504, 320, 731 is 1.

1. What is the GCD of 106, 504, 320, 731?

GCD of given numbers 106, 504, 320, 731 is 1

2. How to calculate the greatest common divisor of 106, 504, 320, 731?

We can find the highest common divisor of 106, 504, 320, 731 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 106, 504, 320, 731 i.e 1.

3. How can I use the GCD of 106, 504, 320, 731Calculator?

Out the numbers 106, 504, 320, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.