GCD of 534, 894, 150, 681 Calculator

Given Input numbers are 534, 894, 150, 681

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 534, 894, 150, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 894, 150, 681 is 3.

Therefore, GCD of numbers 534, 894, 150, 681 is 3

Given Input Data is 534, 894, 150, 681

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 894 is 2 x 3 x 149

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 681 is 3 x 227

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 894) = 79566

GCD(534, 894) = ( 534 x 894 ) / 79566

GCD(534, 894) = 477396 / 79566

GCD(534, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 150

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

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

GCD(6, 150) = 900 / 150

GCD(6, 150) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 681

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

LCM(6, 681) = 1362

GCD(6, 681) = ( 6 x 681 ) / 1362

GCD(6, 681) = 4086 / 1362

GCD(6, 681) = 3

GCD of 534, 894, 150, 681 is 3

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1. What is the GCD of 534, 894, 150, 681?

GCD of 534, 894, 150, 681 is 3

2. Where do I get the detailed procedure to find GCD of 534, 894, 150, 681?

You can find a detailed procedure to find GCD of 534, 894, 150, 681 on our page.

3. How to find GCD of 534, 894, 150, 681 on a calculator?

You can find the GCD of 534, 894, 150, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.