GCD of 541, 498, 680, 603 Calculator

Given Input numbers are 541, 498, 680, 603

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 541, 498, 680, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 498, 680, 603 is 1.

Therefore, GCD of numbers 541, 498, 680, 603 is 1

Given Input Data is 541, 498, 680, 603

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

Prime Factorization of 541 is 541

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 603 is 3 x 3 x 67

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, 498) = 269418

GCD(541, 498) = ( 541 x 498 ) / 269418

GCD(541, 498) = 269418 / 269418

GCD(541, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

GCD of 541, 498, 680, 603 is 1

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1. What is the GCD of 541, 498, 680, 603?

GCD of 541, 498, 680, 603 is 1

2. Where do I get the detailed procedure to find GCD of 541, 498, 680, 603?

You can find a detailed procedure to find GCD of 541, 498, 680, 603 on our page.

3. How to find GCD of 541, 498, 680, 603 on a calculator?

You can find the GCD of 541, 498, 680, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.