GCD of 464, 876, 830, 412 Calculator

Given Input numbers are 464, 876, 830, 412

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

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 876 :

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

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (464, 876, 830, 412) = 2.

Given numbers are 464, 876, 830, 412

The list of prime factors of all numbers are

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

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

Prime factors of 830 are 2 x 5 x 83

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 464, 876, 830, 412 is 2.

Given numbers are 464, 876, 830, 412

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

Apply this formula for all numbers.

Step1:

LCM(464, 876) = 101616

GCD(464, 876) = ( 464 x 876 ) / 101616

= 464 / 876

= 464

Step2:

LCM(4, 830) = 1660

GCD(4, 830) = ( 4 x 830 ) / 1660

= 4 / 830

= 4

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 464, 876, 830, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 575, 425, 679
• GCD of 132, 589, 412, 397
• GCD of 792, 670, 676, 978
• GCD of 209, 721, 858, 411
• GCD of 467, 762, 677, 280

Given numbers are 464, 876, 830, 412
The greatest common divisor of numbers 464, 876, 830, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 876, 830, 412 is 2.

1. What is the GCD of 464, 876, 830, 412?

GCD of given numbers 464, 876, 830, 412 is 2

2. How to calculate the greatest common divisor of 464, 876, 830, 412?

We can find the highest common divisor of 464, 876, 830, 412 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 464, 876, 830, 412 i.e 2.

3. How can I use the GCD of 464, 876, 830, 412Calculator?

Out the numbers 464, 876, 830, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.