GCD of 364, 754, 552, 782 Calculator

Given Input numbers are 364, 754, 552, 782

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

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 364, 754, 552, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 754, 552, 782 is 2.

Therefore, GCD of numbers 364, 754, 552, 782 is 2

Given Input Data is 364, 754, 552, 782

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

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 782 is 2 x 17 x 23

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(364, 754) = 10556

GCD(364, 754) = ( 364 x 754 ) / 10556

GCD(364, 754) = 274456 / 10556

GCD(364, 754) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 552

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

LCM(26, 552) = 7176

GCD(26, 552) = ( 26 x 552 ) / 7176

GCD(26, 552) = 14352 / 7176

GCD(26, 552) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 782

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

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

GCD(2, 782) = 1564 / 782

GCD(2, 782) = 2

GCD of 364, 754, 552, 782 is 2

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1. What is the GCD of 364, 754, 552, 782?

GCD of 364, 754, 552, 782 is 2

2. Where do I get the detailed procedure to find GCD of 364, 754, 552, 782?

You can find a detailed procedure to find GCD of 364, 754, 552, 782 on our page.

3. How to find GCD of 364, 754, 552, 782 on a calculator?

You can find the GCD of 364, 754, 552, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.