GCD of 318, 760, 112, 228 Calculator

Given Input numbers are 318, 760, 112, 228

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

GCD of numbers is the greatest common divisor

So, the GCD (318, 760, 112, 228) = 2.

Given numbers are 318, 760, 112, 228

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 318, 760, 112, 228 is 2.

Given numbers are 318, 760, 112, 228

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

Apply this formula for all numbers.

Step1:

LCM(318, 760) = 120840

GCD(318, 760) = ( 318 x 760 ) / 120840

= 318 / 760

= 318

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 318, 760, 112, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 960, 128, 981
• GCD of 618, 370, 414, 607
• GCD of 428, 569, 568, 554
• GCD of 691, 419, 655, 980
• GCD of 446, 601, 261, 810

Given numbers are 318, 760, 112, 228
The greatest common divisor of numbers 318, 760, 112, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 760, 112, 228 is 2.

1. What is the GCD of 318, 760, 112, 228?

GCD of given numbers 318, 760, 112, 228 is 2

2. How to calculate the greatest common divisor of 318, 760, 112, 228?

We can find the highest common divisor of 318, 760, 112, 228 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 318, 760, 112, 228 i.e 2.

3. How can I use the GCD of 318, 760, 112, 228Calculator?

Out the numbers 318, 760, 112, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.