GCD of 464, 380, 872 Calculator

Given Input numbers are 464, 380, 872

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (464, 380, 872) = 4.

Given numbers are 464, 380, 872

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 380 are 2 x 2 x 5 x 19

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2²

Therefore, GCD of 464, 380, 872 is 4.

Given numbers are 464, 380, 872

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

Apply this formula for all numbers.

Step1:

LCM(464, 380) = 44080

GCD(464, 380) = ( 464 x 380 ) / 44080

= 464 / 380

= 464

Step2:

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

= 4 / 872

= 4

So, Greatest Common Divisor of 464, 380, 872 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 240, 105
• GCD of 963, 553, 923
• GCD of 129, 399, 663
• GCD of 824, 583, 773
• GCD of 418, 482, 243

Given numbers are 464, 380, 872
The greatest common divisor of numbers 464, 380, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 380, 872 is 4.

1. What is the GCD of 464, 380, 872?

GCD of given numbers 464, 380, 872 is 4

2. How to calculate the greatest common divisor of 464, 380, 872?

We can find the highest common divisor of 464, 380, 872 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, 380, 872 i.e 4.

3. How can I use the GCD of 464, 380, 872Calculator?

Out the numbers 464, 380, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.