GCD of 75, 711, 853, 214 Calculator

Given Input numbers are 75, 711, 853, 214

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 75, 711, 853, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 711, 853, 214 is 1.

Therefore, GCD of numbers 75, 711, 853, 214 is 1

Given Input Data is 75, 711, 853, 214

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 711 is 3 x 3 x 79

Prime Factorization of 853 is 853

Prime Factorization of 214 is 2 x 107

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, 711) = 17775

GCD(75, 711) = ( 75 x 711 ) / 17775

GCD(75, 711) = 53325 / 17775

GCD(75, 711) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 853

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

LCM(3, 853) = 2559

GCD(3, 853) = ( 3 x 853 ) / 2559

GCD(3, 853) = 2559 / 2559

GCD(3, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 75, 711, 853, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 941, 970, 263
• GCD of 28, 866, 478, 103
• GCD of 41, 555, 885, 778
• GCD of 19, 624, 221, 969
• GCD of 28, 630, 981, 267

1. What is the GCD of 75, 711, 853, 214?

GCD of 75, 711, 853, 214 is 1

2. Where do I get the detailed procedure to find GCD of 75, 711, 853, 214?

You can find a detailed procedure to find GCD of 75, 711, 853, 214 on our page.

3. How to find GCD of 75, 711, 853, 214 on a calculator?

You can find the GCD of 75, 711, 853, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.