GCD of 981, 172, 341, 971 Calculator

Given Input numbers are 981, 172, 341, 971

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

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 981, 172, 341, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 172, 341, 971 is 1.

Therefore, GCD of numbers 981, 172, 341, 971 is 1

Given Input Data is 981, 172, 341, 971

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 341 is 11 x 31

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(981, 172) = 168732

GCD(981, 172) = ( 981 x 172 ) / 168732

GCD(981, 172) = 168732 / 168732

GCD(981, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 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 981, 172, 341, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 321, 700, 152
• GCD of 272, 111, 555, 368
• GCD of 966, 511, 255, 613
• GCD of 680, 286, 125, 102
• GCD of 924, 855, 746, 959

1. What is the GCD of 981, 172, 341, 971?

GCD of 981, 172, 341, 971 is 1

2. Where do I get the detailed procedure to find GCD of 981, 172, 341, 971?

You can find a detailed procedure to find GCD of 981, 172, 341, 971 on our page.

3. How to find GCD of 981, 172, 341, 971 on a calculator?

You can find the GCD of 981, 172, 341, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.