GCD of 312, 238, 452, 116 Calculator

Given Input numbers are 312, 238, 452, 116

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (312, 238, 452, 116) = 2.

Given numbers are 312, 238, 452, 116

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 238 are 2 x 7 x 17

Prime factors of 452 are 2 x 2 x 113

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 312, 238, 452, 116 is 2.

Given numbers are 312, 238, 452, 116

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

Apply this formula for all numbers.

Step1:

LCM(312, 238) = 37128

GCD(312, 238) = ( 312 x 238 ) / 37128

= 312 / 238

= 312

Step2:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 312, 238, 452, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 669, 262, 547
• GCD of 393, 566, 846, 711
• GCD of 635, 163, 662, 421
• GCD of 603, 475, 366, 937
• GCD of 124, 155, 179, 990

Given numbers are 312, 238, 452, 116
The greatest common divisor of numbers 312, 238, 452, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 238, 452, 116 is 2.

1. What is the GCD of 312, 238, 452, 116?

GCD of given numbers 312, 238, 452, 116 is 2

2. How to calculate the greatest common divisor of 312, 238, 452, 116?

We can find the highest common divisor of 312, 238, 452, 116 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 312, 238, 452, 116 i.e 2.

3. How can I use the GCD of 312, 238, 452, 116Calculator?

Out the numbers 312, 238, 452, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.