GCD of 520, 360, 742, 729 Calculator

Given Input numbers are 520, 360, 742, 729

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (520, 360, 742, 729) = 1.

Given numbers are 520, 360, 742, 729

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 742 are 2 x 7 x 53

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 520, 360, 742, 729

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

Apply this formula for all numbers.

Step1:

LCM(520, 360) = 4680

GCD(520, 360) = ( 520 x 360 ) / 4680

= 520 / 360

= 520

Step2:

LCM(40, 742) = 14840

GCD(40, 742) = ( 40 x 742 ) / 14840

= 40 / 742

= 40

Step3:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

So, Greatest Common Divisor of 520, 360, 742, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 193, 577, 102
• GCD of 866, 488, 603, 242
• GCD of 706, 724, 938, 579
• GCD of 299, 441, 777, 771
• GCD of 817, 846, 891, 677

Given numbers are 520, 360, 742, 729
The greatest common divisor of numbers 520, 360, 742, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 360, 742, 729 is 1.

1. What is the GCD of 520, 360, 742, 729?

GCD of given numbers 520, 360, 742, 729 is 1

2. How to calculate the greatest common divisor of 520, 360, 742, 729?

We can find the highest common divisor of 520, 360, 742, 729 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 520, 360, 742, 729 i.e 1.

3. How can I use the GCD of 520, 360, 742, 729Calculator?

Out the numbers 520, 360, 742, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.