GCD of 754, 868, 15, 564 Calculator

Given Input numbers are 754, 868, 15, 564

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

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 754, 868, 15, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 868, 15, 564 is 1.

Therefore, GCD of numbers 754, 868, 15, 564 is 1

Given Input Data is 754, 868, 15, 564

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 564 is 2 x 2 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(754, 868) = 327236

GCD(754, 868) = ( 754 x 868 ) / 327236

GCD(754, 868) = 654472 / 327236

GCD(754, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 754, 868, 15, 564 is 1

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• GCD of 304, 706, 74, 303
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1. What is the GCD of 754, 868, 15, 564?

GCD of 754, 868, 15, 564 is 1

2. Where do I get the detailed procedure to find GCD of 754, 868, 15, 564?

You can find a detailed procedure to find GCD of 754, 868, 15, 564 on our page.

3. How to find GCD of 754, 868, 15, 564 on a calculator?

You can find the GCD of 754, 868, 15, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.