GCD of 500, 329, 976, 480 Calculator

Given Input numbers are 500, 329, 976, 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 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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, 329, 976, 480) = 1.

Given numbers are 500, 329, 976, 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 329 are 7 x 47

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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, 329, 976, 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, 329) = 164500

GCD(500, 329) = ( 500 x 329 ) / 164500

= 500 / 329

= 500

Step2:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

Step3:

LCM(1, 480) = 480

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

= 1 / 480

= 1

So, Greatest Common Divisor of 500, 329, 976, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 991, 517, 494
• GCD of 772, 266, 952, 577
• GCD of 872, 651, 601, 524
• GCD of 239, 977, 244, 576
• GCD of 914, 401, 673, 310

Given numbers are 500, 329, 976, 480
The greatest common divisor of numbers 500, 329, 976, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 329, 976, 480 is 1.

1. What is the GCD of 500, 329, 976, 480?

GCD of given numbers 500, 329, 976, 480 is 1

2. How to calculate the greatest common divisor of 500, 329, 976, 480?

We can find the highest common divisor of 500, 329, 976, 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, 329, 976, 480 i.e 1.

3. How can I use the GCD of 500, 329, 976, 480Calculator?

Out the numbers 500, 329, 976, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.