GCD of 280, 156, 364, 464 Calculator

Given Input numbers are 280, 156, 364, 464

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 280, 156, 364, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 156, 364, 464 is 4.

Therefore, GCD of numbers 280, 156, 364, 464 is 4

Given Input Data is 280, 156, 364, 464

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(280, 156) = 10920

GCD(280, 156) = ( 280 x 156 ) / 10920

GCD(280, 156) = 43680 / 10920

GCD(280, 156) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 364

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

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

GCD(4, 364) = 1456 / 364

GCD(4, 364) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 464

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

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

GCD(4, 464) = 1856 / 464

GCD(4, 464) = 4

GCD of 280, 156, 364, 464 is 4

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1. What is the GCD of 280, 156, 364, 464?

GCD of 280, 156, 364, 464 is 4

2. Where do I get the detailed procedure to find GCD of 280, 156, 364, 464?

You can find a detailed procedure to find GCD of 280, 156, 364, 464 on our page.

3. How to find GCD of 280, 156, 364, 464 on a calculator?

You can find the GCD of 280, 156, 364, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.