GCD of 390, 976, 820, 460 Calculator

Given Input numbers are 390, 976, 820, 460

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (390, 976, 820, 460) = 2.

Given numbers are 390, 976, 820, 460

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 390, 976, 820, 460 is 2.

Given numbers are 390, 976, 820, 460

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

Apply this formula for all numbers.

Step1:

LCM(390, 976) = 190320

GCD(390, 976) = ( 390 x 976 ) / 190320

= 390 / 976

= 390

Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 390, 976, 820, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 189, 369, 363
• GCD of 468, 934, 801, 751
• GCD of 351, 475, 172, 573
• GCD of 422, 812, 272, 554
• GCD of 211, 152, 235, 830

Given numbers are 390, 976, 820, 460
The greatest common divisor of numbers 390, 976, 820, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 976, 820, 460 is 2.

1. What is the GCD of 390, 976, 820, 460?

GCD of given numbers 390, 976, 820, 460 is 2

2. How to calculate the greatest common divisor of 390, 976, 820, 460?

We can find the highest common divisor of 390, 976, 820, 460 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 390, 976, 820, 460 i.e 2.

3. How can I use the GCD of 390, 976, 820, 460Calculator?

Out the numbers 390, 976, 820, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.