GCD of 468, 348, 768, 876 Calculator

Given Input numbers are 468, 348, 768, 876

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 (468, 348, 768, 876) = 12.

Given numbers are 468, 348, 768, 876

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 2² x 3¹

Therefore, GCD of 468, 348, 768, 876 is 12.

Given numbers are 468, 348, 768, 876

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

Apply this formula for all numbers.

Step1:

LCM(468, 348) = 13572

GCD(468, 348) = ( 468 x 348 ) / 13572

= 468 / 348

= 468

Step2:

LCM(12, 768) = 768

GCD(12, 768) = ( 12 x 768 ) / 768

= 12 / 768

= 12

Step3:

LCM(12, 876) = 876

GCD(12, 876) = ( 12 x 876 ) / 876

= 12 / 876

= 12

So, Greatest Common Divisor of 468, 348, 768, 876 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 746, 490, 428
• GCD of 778, 717, 642, 592
• GCD of 850, 541, 199, 915
• GCD of 520, 835, 272, 144
• GCD of 549, 402, 397, 850

Given numbers are 468, 348, 768, 876
The greatest common divisor of numbers 468, 348, 768, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 348, 768, 876 is 12.

1. What is the GCD of 468, 348, 768, 876?

GCD of given numbers 468, 348, 768, 876 is 12

2. How to calculate the greatest common divisor of 468, 348, 768, 876?

We can find the highest common divisor of 468, 348, 768, 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 468, 348, 768, 876 i.e 12.

3. How can I use the GCD of 468, 348, 768, 876Calculator?

Out the numbers 468, 348, 768, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.