GCD of 75, 716, 217, 426 Calculator

Given Input numbers are 75, 716, 217, 426

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 75, 716, 217, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 716, 217, 426 is 1.

Therefore, GCD of numbers 75, 716, 217, 426 is 1

Given Input Data is 75, 716, 217, 426

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 716 is 2 x 2 x 179

Prime Factorization of 217 is 7 x 31

Prime Factorization of 426 is 2 x 3 x 71

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, 716) = 53700

GCD(75, 716) = ( 75 x 716 ) / 53700

GCD(75, 716) = 53700 / 53700

GCD(75, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 75, 716, 217, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 504, 746, 308
• GCD of 23, 675, 133, 324
• GCD of 97, 885, 610, 271
• GCD of 27, 530, 473, 719
• GCD of 57, 481, 405, 674

1. What is the GCD of 75, 716, 217, 426?

GCD of 75, 716, 217, 426 is 1

2. Where do I get the detailed procedure to find GCD of 75, 716, 217, 426?

You can find a detailed procedure to find GCD of 75, 716, 217, 426 on our page.

3. How to find GCD of 75, 716, 217, 426 on a calculator?

You can find the GCD of 75, 716, 217, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.