GCD of 762, 368, 30, 894 Calculator

Given Input numbers are 762, 368, 30, 894

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 894

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

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

Greatest Common Divisior

We found the divisors of 762, 368, 30, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 368, 30, 894 is 2.

Therefore, GCD of numbers 762, 368, 30, 894 is 2

Given Input Data is 762, 368, 30, 894

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 894 is 2 x 3 x 149

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(762, 368) = 140208

GCD(762, 368) = ( 762 x 368 ) / 140208

GCD(762, 368) = 280416 / 140208

GCD(762, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 762, 368, 30, 894 is 2

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• GCD of 494, 732, 54, 899
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• GCD of 245, 145, 90, 845

1. What is the GCD of 762, 368, 30, 894?

GCD of 762, 368, 30, 894 is 2

2. Where do I get the detailed procedure to find GCD of 762, 368, 30, 894?

You can find a detailed procedure to find GCD of 762, 368, 30, 894 on our page.

3. How to find GCD of 762, 368, 30, 894 on a calculator?

You can find the GCD of 762, 368, 30, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.