GCD of 724, 606, 767, 769 Calculator

Given Input numbers are 724, 606, 767, 769

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 767

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

1, 13, 59, 767

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 724, 606, 767, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 606, 767, 769 is 1.

Therefore, GCD of numbers 724, 606, 767, 769 is 1

Given Input Data is 724, 606, 767, 769

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 767 is 13 x 59

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(724, 606) = 219372

GCD(724, 606) = ( 724 x 606 ) / 219372

GCD(724, 606) = 438744 / 219372

GCD(724, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 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 724, 606, 767, 769 is 1

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1. What is the GCD of 724, 606, 767, 769?

GCD of 724, 606, 767, 769 is 1

2. Where do I get the detailed procedure to find GCD of 724, 606, 767, 769?

You can find a detailed procedure to find GCD of 724, 606, 767, 769 on our page.

3. How to find GCD of 724, 606, 767, 769 on a calculator?

You can find the GCD of 724, 606, 767, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.