GCD of 172, 140, 171, 741 Calculator

Given Input numbers are 172, 140, 171, 741

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 172, 140, 171, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 140, 171, 741 is 1.

Therefore, GCD of numbers 172, 140, 171, 741 is 1

Given Input Data is 172, 140, 171, 741

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 140 is 2 x 2 x 5 x 7

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 741 is 3 x 13 x 19

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(172, 140) = 6020

GCD(172, 140) = ( 172 x 140 ) / 6020

GCD(172, 140) = 24080 / 6020

GCD(172, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 171

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

LCM(4, 171) = 684

GCD(4, 171) = ( 4 x 171 ) / 684

GCD(4, 171) = 684 / 684

GCD(4, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 172, 140, 171, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 524, 623, 230
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1. What is the GCD of 172, 140, 171, 741?

GCD of 172, 140, 171, 741 is 1

2. Where do I get the detailed procedure to find GCD of 172, 140, 171, 741?

You can find a detailed procedure to find GCD of 172, 140, 171, 741 on our page.

3. How to find GCD of 172, 140, 171, 741 on a calculator?

You can find the GCD of 172, 140, 171, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.