GCD of 75, 541, 512, 682 Calculator

Given Input numbers are 75, 541, 512, 682

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 541

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

1, 541

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 75, 541, 512, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 541, 512, 682 is 1.

Therefore, GCD of numbers 75, 541, 512, 682 is 1

Given Input Data is 75, 541, 512, 682

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 541 is 541

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 682 is 2 x 11 x 31

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(75, 541) = 40575

GCD(75, 541) = ( 75 x 541 ) / 40575

GCD(75, 541) = 40575 / 40575

GCD(75, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 75, 541, 512, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 827, 219, 801
• GCD of 72, 621, 336, 835
• GCD of 83, 748, 580, 871
• GCD of 64, 155, 817, 790
• GCD of 74, 758, 748, 575

1. What is the GCD of 75, 541, 512, 682?

GCD of 75, 541, 512, 682 is 1

2. Where do I get the detailed procedure to find GCD of 75, 541, 512, 682?

You can find a detailed procedure to find GCD of 75, 541, 512, 682 on our page.

3. How to find GCD of 75, 541, 512, 682 on a calculator?

You can find the GCD of 75, 541, 512, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.