GCD of 747, 510, 95, 989 Calculator

Given Input numbers are 747, 510, 95, 989

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 989

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

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 747, 510, 95, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 510, 95, 989 is 1.

Therefore, GCD of numbers 747, 510, 95, 989 is 1

Given Input Data is 747, 510, 95, 989

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 95 is 5 x 19

Prime Factorization of 989 is 23 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(747, 510) = 126990

GCD(747, 510) = ( 747 x 510 ) / 126990

GCD(747, 510) = 380970 / 126990

GCD(747, 510) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 95

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

LCM(3, 95) = 285

GCD(3, 95) = ( 3 x 95 ) / 285

GCD(3, 95) = 285 / 285

GCD(3, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 747, 510, 95, 989 is 1

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1. What is the GCD of 747, 510, 95, 989?

GCD of 747, 510, 95, 989 is 1

2. Where do I get the detailed procedure to find GCD of 747, 510, 95, 989?

You can find a detailed procedure to find GCD of 747, 510, 95, 989 on our page.

3. How to find GCD of 747, 510, 95, 989 on a calculator?

You can find the GCD of 747, 510, 95, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.