GCD of 736, 759, 989 Calculator

Given Input numbers are 736, 759, 989

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

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 736, 759, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 759, 989 is 23.

Therefore, GCD of numbers 736, 759, 989 is 23

Given Input Data is 736, 759, 989

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 989 is 23 x 43

Highest common occurrences in the given inputs are 23¹

Multiplying them we get the GCD as 23

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(736, 759) = 24288

GCD(736, 759) = ( 736 x 759 ) / 24288

GCD(736, 759) = 558624 / 24288

GCD(736, 759) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 989

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

LCM(23, 989) = 989

GCD(23, 989) = ( 23 x 989 ) / 989

GCD(23, 989) = 22747 / 989

GCD(23, 989) = 23

GCD of 736, 759, 989 is 23

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1. What is the GCD of 736, 759, 989?

GCD of 736, 759, 989 is 23

2. Where do I get the detailed procedure to find GCD of 736, 759, 989?

You can find a detailed procedure to find GCD of 736, 759, 989 on our page.

3. How to find GCD of 736, 759, 989 on a calculator?

You can find the GCD of 736, 759, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.