GCD of 617, 989, 74, 709 Calculator

Given Input numbers are 617, 989, 74, 709

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 989

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

1, 23, 43, 989

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 617, 989, 74, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 989, 74, 709 is 1.

Therefore, GCD of numbers 617, 989, 74, 709 is 1

Given Input Data is 617, 989, 74, 709

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

Prime Factorization of 617 is 617

Prime Factorization of 989 is 23 x 43

Prime Factorization of 74 is 2 x 37

Prime Factorization of 709 is 709

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(617, 989) = 610213

GCD(617, 989) = ( 617 x 989 ) / 610213

GCD(617, 989) = 610213 / 610213

GCD(617, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 617, 989, 74, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 454, 31, 978
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• GCD of 771, 736, 36, 318
• GCD of 820, 321, 63, 572
• GCD of 124, 618, 38, 890

1. What is the GCD of 617, 989, 74, 709?

GCD of 617, 989, 74, 709 is 1

2. Where do I get the detailed procedure to find GCD of 617, 989, 74, 709?

You can find a detailed procedure to find GCD of 617, 989, 74, 709 on our page.

3. How to find GCD of 617, 989, 74, 709 on a calculator?

You can find the GCD of 617, 989, 74, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.