GCD of 134, 422, 78, 464 Calculator

Given Input numbers are 134, 422, 78, 464

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 134, 422, 78, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 422, 78, 464 is 2.

Therefore, GCD of numbers 134, 422, 78, 464 is 2

Given Input Data is 134, 422, 78, 464

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 422 is 2 x 211

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(134, 422) = 28274

GCD(134, 422) = ( 134 x 422 ) / 28274

GCD(134, 422) = 56548 / 28274

GCD(134, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 134, 422, 78, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 570, 42, 258
• GCD of 195, 139, 94, 202
• GCD of 965, 948, 65, 364
• GCD of 972, 734, 89, 682
• GCD of 456, 583, 85, 808

1. What is the GCD of 134, 422, 78, 464?

GCD of 134, 422, 78, 464 is 2

2. Where do I get the detailed procedure to find GCD of 134, 422, 78, 464?

You can find a detailed procedure to find GCD of 134, 422, 78, 464 on our page.

3. How to find GCD of 134, 422, 78, 464 on a calculator?

You can find the GCD of 134, 422, 78, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.