GCD of 541, 649, 768, 684 Calculator

Given Input numbers are 541, 649, 768, 684

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

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 649

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

1, 11, 59, 649

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 541, 649, 768, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 649, 768, 684 is 1.

Therefore, GCD of numbers 541, 649, 768, 684 is 1

Given Input Data is 541, 649, 768, 684

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

Prime Factorization of 541 is 541

Prime Factorization of 649 is 11 x 59

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(541, 649) = 351109

GCD(541, 649) = ( 541 x 649 ) / 351109

GCD(541, 649) = 351109 / 351109

GCD(541, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 541, 649, 768, 684 is 1

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1. What is the GCD of 541, 649, 768, 684?

GCD of 541, 649, 768, 684 is 1

2. Where do I get the detailed procedure to find GCD of 541, 649, 768, 684?

You can find a detailed procedure to find GCD of 541, 649, 768, 684 on our page.

3. How to find GCD of 541, 649, 768, 684 on a calculator?

You can find the GCD of 541, 649, 768, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.