GCD of 75, 857, 892, 721 Calculator

Given Input numbers are 75, 857, 892, 721

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 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 75, 857, 892, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 857, 892, 721 is 1.

Therefore, GCD of numbers 75, 857, 892, 721 is 1

Given Input Data is 75, 857, 892, 721

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 857 is 857

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 721 is 7 x 103

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, 857) = 64275

GCD(75, 857) = ( 75 x 857 ) / 64275

GCD(75, 857) = 64275 / 64275

GCD(75, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 75, 857, 892, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 315, 927, 990
• GCD of 45, 844, 657, 515
• GCD of 10, 257, 905, 734
• GCD of 69, 325, 705, 606
• GCD of 65, 816, 323, 953

1. What is the GCD of 75, 857, 892, 721?

GCD of 75, 857, 892, 721 is 1

2. Where do I get the detailed procedure to find GCD of 75, 857, 892, 721?

You can find a detailed procedure to find GCD of 75, 857, 892, 721 on our page.

3. How to find GCD of 75, 857, 892, 721 on a calculator?

You can find the GCD of 75, 857, 892, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.