GCD of 553, 689, 767, 764 Calculator

Given Input numbers are 553, 689, 767, 764

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 553, 689, 767, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 689, 767, 764 is 1.

Therefore, GCD of numbers 553, 689, 767, 764 is 1

Given Input Data is 553, 689, 767, 764

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 689 is 13 x 53

Prime Factorization of 767 is 13 x 59

Prime Factorization of 764 is 2 x 2 x 191

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(553, 689) = 381017

GCD(553, 689) = ( 553 x 689 ) / 381017

GCD(553, 689) = 381017 / 381017

GCD(553, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 553, 689, 767, 764 is 1

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1. What is the GCD of 553, 689, 767, 764?

GCD of 553, 689, 767, 764 is 1

2. Where do I get the detailed procedure to find GCD of 553, 689, 767, 764?

You can find a detailed procedure to find GCD of 553, 689, 767, 764 on our page.

3. How to find GCD of 553, 689, 767, 764 on a calculator?

You can find the GCD of 553, 689, 767, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.