GCD of 512, 464, 398, 876 Calculator

Given Input numbers are 512, 464, 398, 876

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (512, 464, 398, 876) = 2.

Given numbers are 512, 464, 398, 876

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 398 are 2 x 199

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 512, 464, 398, 876 is 2.

Given numbers are 512, 464, 398, 876

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

Apply this formula for all numbers.

Step1:

LCM(512, 464) = 14848

GCD(512, 464) = ( 512 x 464 ) / 14848

= 512 / 464

= 512

Step2:

LCM(16, 398) = 3184

GCD(16, 398) = ( 16 x 398 ) / 3184

= 16 / 398

= 16

Step3:

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

= 2 / 876

= 2

So, Greatest Common Divisor of 512, 464, 398, 876 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 959, 507, 634
• GCD of 807, 658, 485, 189
• GCD of 780, 957, 157, 287
• GCD of 371, 543, 465, 552
• GCD of 339, 413, 121, 175

Given numbers are 512, 464, 398, 876
The greatest common divisor of numbers 512, 464, 398, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 464, 398, 876 is 2.

1. What is the GCD of 512, 464, 398, 876?

GCD of given numbers 512, 464, 398, 876 is 2

2. How to calculate the greatest common divisor of 512, 464, 398, 876?

We can find the highest common divisor of 512, 464, 398, 876 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 512, 464, 398, 876 i.e 2.

3. How can I use the GCD of 512, 464, 398, 876Calculator?

Out the numbers 512, 464, 398, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.