GCD of 541, 690, 577, 973 Calculator

Given Input numbers are 541, 690, 577, 973

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 541, 690, 577, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 690, 577, 973 is 1.

Therefore, GCD of numbers 541, 690, 577, 973 is 1

Given Input Data is 541, 690, 577, 973

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

Prime Factorization of 541 is 541

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 577 is 577

Prime Factorization of 973 is 7 x 139

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, 690) = 373290

GCD(541, 690) = ( 541 x 690 ) / 373290

GCD(541, 690) = 373290 / 373290

GCD(541, 690) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 541, 690, 577, 973 is 1

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1. What is the GCD of 541, 690, 577, 973?

GCD of 541, 690, 577, 973 is 1

2. Where do I get the detailed procedure to find GCD of 541, 690, 577, 973?

You can find a detailed procedure to find GCD of 541, 690, 577, 973 on our page.

3. How to find GCD of 541, 690, 577, 973 on a calculator?

You can find the GCD of 541, 690, 577, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.