GCD of 172, 736, 940 Calculator

Given Input numbers are 172, 736, 940

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 172, 736, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 736, 940 is 4.

Therefore, GCD of numbers 172, 736, 940 is 4

Given Input Data is 172, 736, 940

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 940 is 2 x 2 x 5 x 47

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(172, 736) = 31648

GCD(172, 736) = ( 172 x 736 ) / 31648

GCD(172, 736) = 126592 / 31648

GCD(172, 736) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 940

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

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

GCD(4, 940) = 3760 / 940

GCD(4, 940) = 4

GCD of 172, 736, 940 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 284, 987
• GCD of 415, 614, 492
• GCD of 597, 292, 344
• GCD of 725, 319, 666
• GCD of 432, 343, 810

1. What is the GCD of 172, 736, 940?

GCD of 172, 736, 940 is 4

2. Where do I get the detailed procedure to find GCD of 172, 736, 940?

You can find a detailed procedure to find GCD of 172, 736, 940 on our page.

3. How to find GCD of 172, 736, 940 on a calculator?

You can find the GCD of 172, 736, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.