GCD of 720, 505, 58, 609 Calculator

Given Input numbers are 720, 505, 58, 609

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (720, 505, 58, 609) = 1.

Given numbers are 720, 505, 58, 609

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 505 are 5 x 101

Prime factors of 58 are 2 x 29

Prime factors of 609 are 3 x 7 x 29

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

Given numbers are 720, 505, 58, 609

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

Apply this formula for all numbers.

Step1:

LCM(720, 505) = 72720

GCD(720, 505) = ( 720 x 505 ) / 72720

= 720 / 505

= 720

Step2:

LCM(5, 58) = 290

GCD(5, 58) = ( 5 x 58 ) / 290

= 5 / 58

= 5

Step3:

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

= 1 / 609

= 1

So, Greatest Common Divisor of 720, 505, 58, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 620, 13, 760
• GCD of 424, 187, 63, 997
• GCD of 441, 330, 19, 485
• GCD of 162, 438, 21, 175
• GCD of 788, 998, 14, 709

Given numbers are 720, 505, 58, 609
The greatest common divisor of numbers 720, 505, 58, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 505, 58, 609 is 1.

1. What is the GCD of 720, 505, 58, 609?

GCD of given numbers 720, 505, 58, 609 is 1

2. How to calculate the greatest common divisor of 720, 505, 58, 609?

We can find the highest common divisor of 720, 505, 58, 609 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 720, 505, 58, 609 i.e 1.

3. How can I use the GCD of 720, 505, 58, 609Calculator?

Out the numbers 720, 505, 58, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.