GCD of 71, 160, 983, 951 Calculator

Given Input numbers are 71, 160, 983, 951

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Greatest Common Divisior

We found the divisors of 71, 160, 983, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 160, 983, 951 is 1.

Therefore, GCD of numbers 71, 160, 983, 951 is 1

Given Input Data is 71, 160, 983, 951

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

Prime Factorization of 71 is 71

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 983 is 983

Prime Factorization of 951 is 3 x 317

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(71, 160) = 11360

GCD(71, 160) = ( 71 x 160 ) / 11360

GCD(71, 160) = 11360 / 11360

GCD(71, 160) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

GCD of 71, 160, 983, 951 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 589, 407, 325
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• GCD of 13, 348, 905, 924
• GCD of 79, 446, 335, 971
• GCD of 62, 988, 700, 968

1. What is the GCD of 71, 160, 983, 951?

GCD of 71, 160, 983, 951 is 1

2. Where do I get the detailed procedure to find GCD of 71, 160, 983, 951?

You can find a detailed procedure to find GCD of 71, 160, 983, 951 on our page.

3. How to find GCD of 71, 160, 983, 951 on a calculator?

You can find the GCD of 71, 160, 983, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.