GCD of 312, 628, 64, 114 Calculator

Given Input numbers are 312, 628, 64, 114

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

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

Greatest Common Divisior

We found the divisors of 312, 628, 64, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 628, 64, 114 is 2.

Therefore, GCD of numbers 312, 628, 64, 114 is 2

Given Input Data is 312, 628, 64, 114

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 114 is 2 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(312, 628) = 48984

GCD(312, 628) = ( 312 x 628 ) / 48984

GCD(312, 628) = 195936 / 48984

GCD(312, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 114

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

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

GCD(4, 114) = 456 / 228

GCD(4, 114) = 2

GCD of 312, 628, 64, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 738, 81, 821
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• GCD of 342, 187, 81, 184

1. What is the GCD of 312, 628, 64, 114?

GCD of 312, 628, 64, 114 is 2

2. Where do I get the detailed procedure to find GCD of 312, 628, 64, 114?

You can find a detailed procedure to find GCD of 312, 628, 64, 114 on our page.

3. How to find GCD of 312, 628, 64, 114 on a calculator?

You can find the GCD of 312, 628, 64, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.