GCD of 534, 140, 320, 408 Calculator

Given Input numbers are 534, 140, 320, 408

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

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 534, 140, 320, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 140, 320, 408 is 2.

Therefore, GCD of numbers 534, 140, 320, 408 is 2

Given Input Data is 534, 140, 320, 408

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(534, 140) = 37380

GCD(534, 140) = ( 534 x 140 ) / 37380

GCD(534, 140) = 74760 / 37380

GCD(534, 140) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 534, 140, 320, 408 is 2

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1. What is the GCD of 534, 140, 320, 408?

GCD of 534, 140, 320, 408 is 2

2. Where do I get the detailed procedure to find GCD of 534, 140, 320, 408?

You can find a detailed procedure to find GCD of 534, 140, 320, 408 on our page.

3. How to find GCD of 534, 140, 320, 408 on a calculator?

You can find the GCD of 534, 140, 320, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.