GCD of 607, 961, 748, 769 Calculator

Given Input numbers are 607, 961, 748, 769

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

Divisors of 607

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

1, 607

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 607, 961, 748, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 607, 961, 748, 769 is 1.

Therefore, GCD of numbers 607, 961, 748, 769 is 1

Given Input Data is 607, 961, 748, 769

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

Prime Factorization of 607 is 607

Prime Factorization of 961 is 31 x 31

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 769 is 769

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(607, 961) = 583327

GCD(607, 961) = ( 607 x 961 ) / 583327

GCD(607, 961) = 583327 / 583327

GCD(607, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 607, 961, 748, 769 is 1

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1. What is the GCD of 607, 961, 748, 769?

GCD of 607, 961, 748, 769 is 1

2. Where do I get the detailed procedure to find GCD of 607, 961, 748, 769?

You can find a detailed procedure to find GCD of 607, 961, 748, 769 on our page.

3. How to find GCD of 607, 961, 748, 769 on a calculator?

You can find the GCD of 607, 961, 748, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.