GCD of 976, 328, 360, 506 Calculator

Given Input numbers are 976, 328, 360, 506

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

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 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (976, 328, 360, 506) = 2.

Given numbers are 976, 328, 360, 506

The list of prime factors of all numbers are

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

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 976, 328, 360, 506 is 2.

Given numbers are 976, 328, 360, 506

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

Apply this formula for all numbers.

Step1:

LCM(976, 328) = 40016

GCD(976, 328) = ( 976 x 328 ) / 40016

= 976 / 328

= 976

Step2:

LCM(8, 360) = 360

GCD(8, 360) = ( 8 x 360 ) / 360

= 8 / 360

= 8

Step3:

LCM(8, 506) = 2024

GCD(8, 506) = ( 8 x 506 ) / 2024

= 8 / 506

= 8

So, Greatest Common Divisor of 976, 328, 360, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 461, 573, 247
• GCD of 218, 846, 128, 177
• GCD of 504, 417, 971, 578
• GCD of 931, 288, 397, 136
• GCD of 298, 747, 615, 439

Given numbers are 976, 328, 360, 506
The greatest common divisor of numbers 976, 328, 360, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 328, 360, 506 is 2.

1. What is the GCD of 976, 328, 360, 506?

GCD of given numbers 976, 328, 360, 506 is 2

2. How to calculate the greatest common divisor of 976, 328, 360, 506?

We can find the highest common divisor of 976, 328, 360, 506 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 976, 328, 360, 506 i.e 2.

3. How can I use the GCD of 976, 328, 360, 506Calculator?

Out the numbers 976, 328, 360, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.