GCD of 660, 213, 91, 172 Calculator

Given Input numbers are 660, 213, 91, 172

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 660, 213, 91, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 213, 91, 172 is 1.

Therefore, GCD of numbers 660, 213, 91, 172 is 1

Given Input Data is 660, 213, 91, 172

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 213 is 3 x 71

Prime Factorization of 91 is 7 x 13

Prime Factorization of 172 is 2 x 2 x 43

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(660, 213) = 46860

GCD(660, 213) = ( 660 x 213 ) / 46860

GCD(660, 213) = 140580 / 46860

GCD(660, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 91

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

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

GCD(3, 91) = 273 / 273

GCD(3, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 660, 213, 91, 172 is 1

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• GCD of 670, 289, 50, 532
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1. What is the GCD of 660, 213, 91, 172?

GCD of 660, 213, 91, 172 is 1

2. Where do I get the detailed procedure to find GCD of 660, 213, 91, 172?

You can find a detailed procedure to find GCD of 660, 213, 91, 172 on our page.

3. How to find GCD of 660, 213, 91, 172 on a calculator?

You can find the GCD of 660, 213, 91, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.