GCD of 219, 823, 968, 991 Calculator

Given Input numbers are 219, 823, 968, 991

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 219, 823, 968, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 823, 968, 991 is 1.

Therefore, GCD of numbers 219, 823, 968, 991 is 1

Given Input Data is 219, 823, 968, 991

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 823 is 823

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 991 is 991

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(219, 823) = 180237

GCD(219, 823) = ( 219 x 823 ) / 180237

GCD(219, 823) = 180237 / 180237

GCD(219, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 219, 823, 968, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 171, 543, 440
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• GCD of 281, 375, 971, 178
• GCD of 914, 250, 504, 950
• GCD of 433, 199, 905, 963

1. What is the GCD of 219, 823, 968, 991?

GCD of 219, 823, 968, 991 is 1

2. Where do I get the detailed procedure to find GCD of 219, 823, 968, 991?

You can find a detailed procedure to find GCD of 219, 823, 968, 991 on our page.

3. How to find GCD of 219, 823, 968, 991 on a calculator?

You can find the GCD of 219, 823, 968, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.