GCD of 971, 741, 116, 170 Calculator

Given Input numbers are 971, 741, 116, 170

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

Divisors of 971

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

1, 971

Divisors of 741

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

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 971, 741, 116, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 741, 116, 170 is 1.

Therefore, GCD of numbers 971, 741, 116, 170 is 1

Given Input Data is 971, 741, 116, 170

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

Prime Factorization of 971 is 971

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 170 is 2 x 5 x 17

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(971, 741) = 719511

GCD(971, 741) = ( 971 x 741 ) / 719511

GCD(971, 741) = 719511 / 719511

GCD(971, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 971, 741, 116, 170 is 1

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1. What is the GCD of 971, 741, 116, 170?

GCD of 971, 741, 116, 170 is 1

2. Where do I get the detailed procedure to find GCD of 971, 741, 116, 170?

You can find a detailed procedure to find GCD of 971, 741, 116, 170 on our page.

3. How to find GCD of 971, 741, 116, 170 on a calculator?

You can find the GCD of 971, 741, 116, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.