GCD of 75, 10, 77, 71 Calculator

Given Input numbers are 75, 10, 77, 71

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 75, 10, 77, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 10, 77, 71 is 1.

Therefore, GCD of numbers 75, 10, 77, 71 is 1

Given Input Data is 75, 10, 77, 71

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 10 is 2 x 5

Prime Factorization of 77 is 7 x 11

Prime Factorization of 71 is 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, 10) = 150

GCD(75, 10) = ( 75 x 10 ) / 150

GCD(75, 10) = 750 / 150

GCD(75, 10) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 77

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

LCM(5, 77) = 385

GCD(5, 77) = ( 5 x 77 ) / 385

GCD(5, 77) = 385 / 385

GCD(5, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

GCD of 75, 10, 77, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 82, 92, 32
• GCD of 12, 12, 62, 78
• GCD of 64, 90, 83, 91
• GCD of 24, 59, 32, 60
• GCD of 99, 67, 90, 68

1. What is the GCD of 75, 10, 77, 71?

GCD of 75, 10, 77, 71 is 1

2. Where do I get the detailed procedure to find GCD of 75, 10, 77, 71?

You can find a detailed procedure to find GCD of 75, 10, 77, 71 on our page.

3. How to find GCD of 75, 10, 77, 71 on a calculator?

You can find the GCD of 75, 10, 77, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.