GCD of 620, 545, 519, 677 Calculator

Given Input numbers are 620, 545, 519, 677

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

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 620, 545, 519, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 545, 519, 677 is 1.

Therefore, GCD of numbers 620, 545, 519, 677 is 1

Given Input Data is 620, 545, 519, 677

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

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 545 is 5 x 109

Prime Factorization of 519 is 3 x 173

Prime Factorization of 677 is 677

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(620, 545) = 67580

GCD(620, 545) = ( 620 x 545 ) / 67580

GCD(620, 545) = 337900 / 67580

GCD(620, 545) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 519

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

LCM(5, 519) = 2595

GCD(5, 519) = ( 5 x 519 ) / 2595

GCD(5, 519) = 2595 / 2595

GCD(5, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 620, 545, 519, 677 is 1

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1. What is the GCD of 620, 545, 519, 677?

GCD of 620, 545, 519, 677 is 1

2. Where do I get the detailed procedure to find GCD of 620, 545, 519, 677?

You can find a detailed procedure to find GCD of 620, 545, 519, 677 on our page.

3. How to find GCD of 620, 545, 519, 677 on a calculator?

You can find the GCD of 620, 545, 519, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.