GCD of 546, 119, 502, 369 Calculator

Given Input numbers are 546, 119, 502, 369

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

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 546, 119, 502, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 119, 502, 369 is 1.

Therefore, GCD of numbers 546, 119, 502, 369 is 1

Given Input Data is 546, 119, 502, 369

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 119 is 7 x 17

Prime Factorization of 502 is 2 x 251

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(546, 119) = 9282

GCD(546, 119) = ( 546 x 119 ) / 9282

GCD(546, 119) = 64974 / 9282

GCD(546, 119) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 502

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

LCM(7, 502) = 3514

GCD(7, 502) = ( 7 x 502 ) / 3514

GCD(7, 502) = 3514 / 3514

GCD(7, 502) = 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 546, 119, 502, 369 is 1

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1. What is the GCD of 546, 119, 502, 369?

GCD of 546, 119, 502, 369 is 1

2. Where do I get the detailed procedure to find GCD of 546, 119, 502, 369?

You can find a detailed procedure to find GCD of 546, 119, 502, 369 on our page.

3. How to find GCD of 546, 119, 502, 369 on a calculator?

You can find the GCD of 546, 119, 502, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.