GCD of 480, 824, 524, 731 Calculator

Given Input numbers are 480, 824, 524, 731

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 524 :

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

1, 2, 4, 131, 262, 524

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 (480, 824, 524, 731) = 1.

Given numbers are 480, 824, 524, 731

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 524 are 2 x 2 x 131

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 480, 824, 524, 731

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

Apply this formula for all numbers.

Step1:

LCM(480, 824) = 49440

GCD(480, 824) = ( 480 x 824 ) / 49440

= 480 / 824

= 480

Step2:

LCM(8, 524) = 1048

GCD(8, 524) = ( 8 x 524 ) / 1048

= 8 / 524

= 8

Step3:

LCM(4, 731) = 2924

GCD(4, 731) = ( 4 x 731 ) / 2924

= 4 / 731

= 4

So, Greatest Common Divisor of 480, 824, 524, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 651, 847, 731
• GCD of 683, 872, 759, 856
• GCD of 763, 961, 952, 334
• GCD of 179, 669, 351, 181
• GCD of 871, 249, 467, 729

Given numbers are 480, 824, 524, 731
The greatest common divisor of numbers 480, 824, 524, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 824, 524, 731 is 1.

1. What is the GCD of 480, 824, 524, 731?

GCD of given numbers 480, 824, 524, 731 is 1

2. How to calculate the greatest common divisor of 480, 824, 524, 731?

We can find the highest common divisor of 480, 824, 524, 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 480, 824, 524, 731 i.e 1.

3. How can I use the GCD of 480, 824, 524, 731Calculator?

Out the numbers 480, 824, 524, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.