GCD of 460, 976, 664, 284 Calculator

Given Input numbers are 460, 976, 664, 284

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

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

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (460, 976, 664, 284) = 4.

Given numbers are 460, 976, 664, 284

The list of prime factors of all numbers are

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

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

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2²

Therefore, GCD of 460, 976, 664, 284 is 4.

Given numbers are 460, 976, 664, 284

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

Apply this formula for all numbers.

Step1:

LCM(460, 976) = 112240

GCD(460, 976) = ( 460 x 976 ) / 112240

= 460 / 976

= 460

Step2:

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

= 4 / 664

= 4

Step3:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

So, Greatest Common Divisor of 460, 976, 664, 284 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 539, 596, 629
• GCD of 456, 210, 408, 401
• GCD of 842, 537, 987, 674
• GCD of 286, 169, 134, 585
• GCD of 500, 583, 227, 586

Given numbers are 460, 976, 664, 284
The greatest common divisor of numbers 460, 976, 664, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 976, 664, 284 is 4.

1. What is the GCD of 460, 976, 664, 284?

GCD of given numbers 460, 976, 664, 284 is 4

2. How to calculate the greatest common divisor of 460, 976, 664, 284?

We can find the highest common divisor of 460, 976, 664, 284 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 460, 976, 664, 284 i.e 4.

3. How can I use the GCD of 460, 976, 664, 284Calculator?

Out the numbers 460, 976, 664, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.