GCD of 114, 944, 64, 462 Calculator

Given Input numbers are 114, 944, 64, 462

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

Divisors of 114

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

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 114, 944, 64, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 944, 64, 462 is 2.

Therefore, GCD of numbers 114, 944, 64, 462 is 2

Given Input Data is 114, 944, 64, 462

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(114, 944) = 53808

GCD(114, 944) = ( 114 x 944 ) / 53808

GCD(114, 944) = 107616 / 53808

GCD(114, 944) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 114, 944, 64, 462 is 2

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• GCD of 743, 382, 20, 700

1. What is the GCD of 114, 944, 64, 462?

GCD of 114, 944, 64, 462 is 2

2. Where do I get the detailed procedure to find GCD of 114, 944, 64, 462?

You can find a detailed procedure to find GCD of 114, 944, 64, 462 on our page.

3. How to find GCD of 114, 944, 64, 462 on a calculator?

You can find the GCD of 114, 944, 64, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.