GCD of 720, 407, 524, 470 Calculator

Given Input numbers are 720, 407, 524, 470

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (720, 407, 524, 470) = 1.

Given numbers are 720, 407, 524, 470

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 407 are 11 x 37

Prime factors of 524 are 2 x 2 x 131

Prime factors of 470 are 2 x 5 x 47

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

Given numbers are 720, 407, 524, 470

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

Apply this formula for all numbers.

Step1:

LCM(720, 407) = 293040

GCD(720, 407) = ( 720 x 407 ) / 293040

= 720 / 407

= 720

Step2:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1

Step3:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1

So, Greatest Common Divisor of 720, 407, 524, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 315, 552, 625
• GCD of 912, 128, 365, 250
• GCD of 768, 474, 779, 780
• GCD of 363, 980, 354, 563
• GCD of 335, 854, 919, 439

Given numbers are 720, 407, 524, 470
The greatest common divisor of numbers 720, 407, 524, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 407, 524, 470 is 1.

1. What is the GCD of 720, 407, 524, 470?

GCD of given numbers 720, 407, 524, 470 is 1

2. How to calculate the greatest common divisor of 720, 407, 524, 470?

We can find the highest common divisor of 720, 407, 524, 470 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, 407, 524, 470 i.e 1.

3. How can I use the GCD of 720, 407, 524, 470Calculator?

Out the numbers 720, 407, 524, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.