GCD of 991, 864, 615, 527 Calculator

Given Input numbers are 991, 864, 615, 527

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

Divisors of 991

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

1, 991

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 991, 864, 615, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 864, 615, 527 is 1.

Therefore, GCD of numbers 991, 864, 615, 527 is 1

Given Input Data is 991, 864, 615, 527

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

Prime Factorization of 991 is 991

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 527 is 17 x 31

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(991, 864) = 856224

GCD(991, 864) = ( 991 x 864 ) / 856224

GCD(991, 864) = 856224 / 856224

GCD(991, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 991, 864, 615, 527 is 1

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1. What is the GCD of 991, 864, 615, 527?

GCD of 991, 864, 615, 527 is 1

2. Where do I get the detailed procedure to find GCD of 991, 864, 615, 527?

You can find a detailed procedure to find GCD of 991, 864, 615, 527 on our page.

3. How to find GCD of 991, 864, 615, 527 on a calculator?

You can find the GCD of 991, 864, 615, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.