GCD of 34, 722, 607, 989 Calculator

Given Input numbers are 34, 722, 607, 989

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

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 34, 722, 607, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 722, 607, 989 is 1.

Therefore, GCD of numbers 34, 722, 607, 989 is 1

Given Input Data is 34, 722, 607, 989

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 607 is 607

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(34, 722) = 12274

GCD(34, 722) = ( 34 x 722 ) / 12274

GCD(34, 722) = 24548 / 12274

GCD(34, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 607

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

LCM(2, 607) = 1214

GCD(2, 607) = ( 2 x 607 ) / 1214

GCD(2, 607) = 1214 / 1214

GCD(2, 607) = 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 34, 722, 607, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 672, 921, 236
• GCD of 53, 442, 246, 145
• GCD of 95, 764, 313, 467
• GCD of 54, 634, 265, 440
• GCD of 20, 813, 250, 606

1. What is the GCD of 34, 722, 607, 989?

GCD of 34, 722, 607, 989 is 1

2. Where do I get the detailed procedure to find GCD of 34, 722, 607, 989?

You can find a detailed procedure to find GCD of 34, 722, 607, 989 on our page.

3. How to find GCD of 34, 722, 607, 989 on a calculator?

You can find the GCD of 34, 722, 607, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.