GCD of 74, 766, 157, 872 Calculator

Given Input numbers are 74, 766, 157, 872

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 74, 766, 157, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 766, 157, 872 is 1.

Therefore, GCD of numbers 74, 766, 157, 872 is 1

Given Input Data is 74, 766, 157, 872

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 74 is 2 x 37

Prime Factorization of 766 is 2 x 383

Prime Factorization of 157 is 157

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(74, 766) = 28342

GCD(74, 766) = ( 74 x 766 ) / 28342

GCD(74, 766) = 56684 / 28342

GCD(74, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

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

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 74, 766, 157, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 180, 959, 930
• GCD of 22, 551, 453, 751
• GCD of 28, 621, 373, 305
• GCD of 22, 538, 230, 350
• GCD of 25, 458, 797, 426

1. What is the GCD of 74, 766, 157, 872?

GCD of 74, 766, 157, 872 is 1

2. Where do I get the detailed procedure to find GCD of 74, 766, 157, 872?

You can find a detailed procedure to find GCD of 74, 766, 157, 872 on our page.

3. How to find GCD of 74, 766, 157, 872 on a calculator?

You can find the GCD of 74, 766, 157, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.