GCD of 346, 649, 730, 369 Calculator

Given Input numbers are 346, 649, 730, 369

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 346, 649, 730, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 649, 730, 369 is 1.

Therefore, GCD of numbers 346, 649, 730, 369 is 1

Given Input Data is 346, 649, 730, 369

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 649 is 11 x 59

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 369 is 3 x 3 x 41

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(346, 649) = 224554

GCD(346, 649) = ( 346 x 649 ) / 224554

GCD(346, 649) = 224554 / 224554

GCD(346, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 346, 649, 730, 369 is 1

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• GCD of 926, 803, 954, 524
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1. What is the GCD of 346, 649, 730, 369?

GCD of 346, 649, 730, 369 is 1

2. Where do I get the detailed procedure to find GCD of 346, 649, 730, 369?

You can find a detailed procedure to find GCD of 346, 649, 730, 369 on our page.

3. How to find GCD of 346, 649, 730, 369 on a calculator?

You can find the GCD of 346, 649, 730, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.