GCD of 468, 114, 468, 348 Calculator

Given Input numbers are 468, 114, 468, 348

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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

GCD of numbers is the greatest common divisor

So, the GCD (468, 114, 468, 348) = 6.

Given numbers are 468, 114, 468, 348

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 114 are 2 x 3 x 19

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 468, 114, 468, 348 is 6.

Given numbers are 468, 114, 468, 348

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

Apply this formula for all numbers.

Step1:

LCM(468, 114) = 8892

GCD(468, 114) = ( 468 x 114 ) / 8892

= 468 / 114

= 468

Step2:

LCM(6, 468) = 468

GCD(6, 468) = ( 6 x 468 ) / 468

= 6 / 468

= 6

Step3:

LCM(6, 348) = 348

GCD(6, 348) = ( 6 x 348 ) / 348

= 6 / 348

= 6

So, Greatest Common Divisor of 468, 114, 468, 348 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 625, 104, 537
• GCD of 776, 763, 243, 150
• GCD of 417, 769, 403, 442
• GCD of 479, 981, 780, 441
• GCD of 151, 856, 274, 763

Given numbers are 468, 114, 468, 348
The greatest common divisor of numbers 468, 114, 468, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 114, 468, 348 is 6.

1. What is the GCD of 468, 114, 468, 348?

GCD of given numbers 468, 114, 468, 348 is 6

2. How to calculate the greatest common divisor of 468, 114, 468, 348?

We can find the highest common divisor of 468, 114, 468, 348 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, 114, 468, 348 i.e 6.

3. How can I use the GCD of 468, 114, 468, 348Calculator?

Out the numbers 468, 114, 468, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.