GCD of 753, 651, 516, 994 Calculator

Given Input numbers are 753, 651, 516, 994

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 753, 651, 516, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 651, 516, 994 is 1.

Therefore, GCD of numbers 753, 651, 516, 994 is 1

Given Input Data is 753, 651, 516, 994

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 651 is 3 x 7 x 31

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

Prime Factorization of 994 is 2 x 7 x 71

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(753, 651) = 163401

GCD(753, 651) = ( 753 x 651 ) / 163401

GCD(753, 651) = 490203 / 163401

GCD(753, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 516

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

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

GCD(3, 516) = 1548 / 516

GCD(3, 516) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 994

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

LCM(3, 994) = 2982

GCD(3, 994) = ( 3 x 994 ) / 2982

GCD(3, 994) = 2982 / 2982

GCD(3, 994) = 1

GCD of 753, 651, 516, 994 is 1

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1. What is the GCD of 753, 651, 516, 994?

GCD of 753, 651, 516, 994 is 1

2. Where do I get the detailed procedure to find GCD of 753, 651, 516, 994?

You can find a detailed procedure to find GCD of 753, 651, 516, 994 on our page.

3. How to find GCD of 753, 651, 516, 994 on a calculator?

You can find the GCD of 753, 651, 516, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.