GCD of 500, 732, 705, 480 Calculator

Given Input numbers are 500, 732, 705, 480

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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

GCD of numbers is the greatest common divisor

So, the GCD (500, 732, 705, 480) = 1.

Given numbers are 500, 732, 705, 480

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 705 are 3 x 5 x 47

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

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

Given numbers are 500, 732, 705, 480

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

Apply this formula for all numbers.

Step1:

LCM(500, 732) = 91500

GCD(500, 732) = ( 500 x 732 ) / 91500

= 500 / 732

= 500

Step2:

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

= 4 / 705

= 4

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 500, 732, 705, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 711, 137, 143
• GCD of 212, 308, 324, 355
• GCD of 349, 626, 718, 188
• GCD of 133, 196, 521, 311
• GCD of 866, 301, 448, 841

Given numbers are 500, 732, 705, 480
The greatest common divisor of numbers 500, 732, 705, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 732, 705, 480 is 1.

1. What is the GCD of 500, 732, 705, 480?

GCD of given numbers 500, 732, 705, 480 is 1

2. How to calculate the greatest common divisor of 500, 732, 705, 480?

We can find the highest common divisor of 500, 732, 705, 480 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 500, 732, 705, 480 i.e 1.

3. How can I use the GCD of 500, 732, 705, 480Calculator?

Out the numbers 500, 732, 705, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.