GCD of 349, 504, 605, 759 Calculator

Given Input numbers are 349, 504, 605, 759

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 349, 504, 605, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 504, 605, 759 is 1.

Therefore, GCD of numbers 349, 504, 605, 759 is 1

Given Input Data is 349, 504, 605, 759

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

Prime Factorization of 349 is 349

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 759 is 3 x 11 x 23

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(349, 504) = 175896

GCD(349, 504) = ( 349 x 504 ) / 175896

GCD(349, 504) = 175896 / 175896

GCD(349, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 349, 504, 605, 759 is 1

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• GCD of 440, 517, 131, 664
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1. What is the GCD of 349, 504, 605, 759?

GCD of 349, 504, 605, 759 is 1

2. Where do I get the detailed procedure to find GCD of 349, 504, 605, 759?

You can find a detailed procedure to find GCD of 349, 504, 605, 759 on our page.

3. How to find GCD of 349, 504, 605, 759 on a calculator?

You can find the GCD of 349, 504, 605, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.