GCD of 75, 620, 214, 673 Calculator

Given Input numbers are 75, 620, 214, 673

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 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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 75, 620, 214, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 620, 214, 673 is 1.

Therefore, GCD of numbers 75, 620, 214, 673 is 1

Given Input Data is 75, 620, 214, 673

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 620 is 2 x 2 x 5 x 31

Prime Factorization of 214 is 2 x 107

Prime Factorization of 673 is 673

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, 620) = 9300

GCD(75, 620) = ( 75 x 620 ) / 9300

GCD(75, 620) = 46500 / 9300

GCD(75, 620) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 214

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

LCM(5, 214) = 1070

GCD(5, 214) = ( 5 x 214 ) / 1070

GCD(5, 214) = 1070 / 1070

GCD(5, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

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

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

GCD of 75, 620, 214, 673 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 730, 337, 716
• GCD of 78, 434, 858, 537
• GCD of 62, 338, 880, 942
• GCD of 59, 697, 978, 243
• GCD of 14, 480, 317, 482

1. What is the GCD of 75, 620, 214, 673?

GCD of 75, 620, 214, 673 is 1

2. Where do I get the detailed procedure to find GCD of 75, 620, 214, 673?

You can find a detailed procedure to find GCD of 75, 620, 214, 673 on our page.

3. How to find GCD of 75, 620, 214, 673 on a calculator?

You can find the GCD of 75, 620, 214, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.