GCD of 754, 989, 38, 516 Calculator

Given Input numbers are 754, 989, 38, 516

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 754, 989, 38, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 989, 38, 516 is 1.

Therefore, GCD of numbers 754, 989, 38, 516 is 1

Given Input Data is 754, 989, 38, 516

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 989 is 23 x 43

Prime Factorization of 38 is 2 x 19

Prime Factorization of 516 is 2 x 2 x 3 x 43

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, 989) = 745706

GCD(754, 989) = ( 754 x 989 ) / 745706

GCD(754, 989) = 745706 / 745706

GCD(754, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 754, 989, 38, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 938, 87, 632
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• GCD of 622, 154, 61, 401

1. What is the GCD of 754, 989, 38, 516?

GCD of 754, 989, 38, 516 is 1

2. Where do I get the detailed procedure to find GCD of 754, 989, 38, 516?

You can find a detailed procedure to find GCD of 754, 989, 38, 516 on our page.

3. How to find GCD of 754, 989, 38, 516 on a calculator?

You can find the GCD of 754, 989, 38, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.