GCD of 171, 313, 262, 364 Calculator

Given Input numbers are 171, 313, 262, 364

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 171, 313, 262, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 313, 262, 364 is 1.

Therefore, GCD of numbers 171, 313, 262, 364 is 1

Given Input Data is 171, 313, 262, 364

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 313 is 313

Prime Factorization of 262 is 2 x 131

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(171, 313) = 53523

GCD(171, 313) = ( 171 x 313 ) / 53523

GCD(171, 313) = 53523 / 53523

GCD(171, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 171, 313, 262, 364 is 1

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• GCD of 276, 541, 821, 142
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1. What is the GCD of 171, 313, 262, 364?

GCD of 171, 313, 262, 364 is 1

2. Where do I get the detailed procedure to find GCD of 171, 313, 262, 364?

You can find a detailed procedure to find GCD of 171, 313, 262, 364 on our page.

3. How to find GCD of 171, 313, 262, 364 on a calculator?

You can find the GCD of 171, 313, 262, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.