GCD of 325, 842, 208, 971 Calculator

Given Input numbers are 325, 842, 208, 971

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 325, 842, 208, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 842, 208, 971 is 1.

Therefore, GCD of numbers 325, 842, 208, 971 is 1

Given Input Data is 325, 842, 208, 971

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

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 842 is 2 x 421

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 971 is 971

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(325, 842) = 273650

GCD(325, 842) = ( 325 x 842 ) / 273650

GCD(325, 842) = 273650 / 273650

GCD(325, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 325, 842, 208, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 524, 523, 182
• GCD of 643, 674, 329, 512
• GCD of 552, 597, 733, 472
• GCD of 869, 690, 717, 664
• GCD of 559, 425, 945, 183

1. What is the GCD of 325, 842, 208, 971?

GCD of 325, 842, 208, 971 is 1

2. Where do I get the detailed procedure to find GCD of 325, 842, 208, 971?

You can find a detailed procedure to find GCD of 325, 842, 208, 971 on our page.

3. How to find GCD of 325, 842, 208, 971 on a calculator?

You can find the GCD of 325, 842, 208, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.