GCD of 739, 529, 77, 660 Calculator

Given Input numbers are 739, 529, 77, 660

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 739, 529, 77, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 529, 77, 660 is 1.

Therefore, GCD of numbers 739, 529, 77, 660 is 1

Given Input Data is 739, 529, 77, 660

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

Prime Factorization of 739 is 739

Prime Factorization of 529 is 23 x 23

Prime Factorization of 77 is 7 x 11

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(739, 529) = 390931

GCD(739, 529) = ( 739 x 529 ) / 390931

GCD(739, 529) = 390931 / 390931

GCD(739, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 739, 529, 77, 660 is 1

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1. What is the GCD of 739, 529, 77, 660?

GCD of 739, 529, 77, 660 is 1

2. Where do I get the detailed procedure to find GCD of 739, 529, 77, 660?

You can find a detailed procedure to find GCD of 739, 529, 77, 660 on our page.

3. How to find GCD of 739, 529, 77, 660 on a calculator?

You can find the GCD of 739, 529, 77, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.