GCD of 228, 312, 134, 958 Calculator

Given Input numbers are 228, 312, 134, 958

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (228, 312, 134, 958) = 2.

Given numbers are 228, 312, 134, 958

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

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

Prime factors of 134 are 2 x 67

Prime factors of 958 are 2 x 479

The highest common occurrence is 2¹

Therefore, GCD of 228, 312, 134, 958 is 2.

Given numbers are 228, 312, 134, 958

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

Apply this formula for all numbers.

Step1:

LCM(228, 312) = 5928

GCD(228, 312) = ( 228 x 312 ) / 5928

= 228 / 312

= 228

Step2:

LCM(12, 134) = 804

GCD(12, 134) = ( 12 x 134 ) / 804

= 12 / 134

= 12

Step3:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

So, Greatest Common Divisor of 228, 312, 134, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 165, 744, 952
• GCD of 102, 358, 567, 466
• GCD of 538, 900, 678, 563
• GCD of 294, 751, 856, 477
• GCD of 181, 591, 569, 142

Given numbers are 228, 312, 134, 958
The greatest common divisor of numbers 228, 312, 134, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 312, 134, 958 is 2.

1. What is the GCD of 228, 312, 134, 958?

GCD of given numbers 228, 312, 134, 958 is 2

2. How to calculate the greatest common divisor of 228, 312, 134, 958?

We can find the highest common divisor of 228, 312, 134, 958 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 228, 312, 134, 958 i.e 2.

3. How can I use the GCD of 228, 312, 134, 958Calculator?

Out the numbers 228, 312, 134, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.