GCD of 617, 691, 90, 780 Calculator

Given Input numbers are 617, 691, 90, 780

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 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 617, 691, 90, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 691, 90, 780 is 1.

Therefore, GCD of numbers 617, 691, 90, 780 is 1

Given Input Data is 617, 691, 90, 780

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

Prime Factorization of 617 is 617

Prime Factorization of 691 is 691

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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, 691) = 426347

GCD(617, 691) = ( 617 x 691 ) / 426347

GCD(617, 691) = 426347 / 426347

GCD(617, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 617, 691, 90, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 991, 41, 507
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• GCD of 677, 113, 78, 151
• GCD of 701, 279, 65, 223
• GCD of 334, 395, 13, 785

1. What is the GCD of 617, 691, 90, 780?

GCD of 617, 691, 90, 780 is 1

2. Where do I get the detailed procedure to find GCD of 617, 691, 90, 780?

You can find a detailed procedure to find GCD of 617, 691, 90, 780 on our page.

3. How to find GCD of 617, 691, 90, 780 on a calculator?

You can find the GCD of 617, 691, 90, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.