GCD of 891, 693, 501, 314 Calculator

Given Input numbers are 891, 693, 501, 314

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 891, 693, 501, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 693, 501, 314 is 1.

Therefore, GCD of numbers 891, 693, 501, 314 is 1

Given Input Data is 891, 693, 501, 314

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 501 is 3 x 167

Prime Factorization of 314 is 2 x 157

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(891, 693) = 6237

GCD(891, 693) = ( 891 x 693 ) / 6237

GCD(891, 693) = 617463 / 6237

GCD(891, 693) = 99

Step2:

Here we consider the GCD from the above i.e. 99 as first number and the next as 501

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

LCM(99, 501) = 16533

GCD(99, 501) = ( 99 x 501 ) / 16533

GCD(99, 501) = 49599 / 16533

GCD(99, 501) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 314

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

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

GCD(3, 314) = 942 / 942

GCD(3, 314) = 1

GCD of 891, 693, 501, 314 is 1

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• GCD of 749, 735, 156, 812
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1. What is the GCD of 891, 693, 501, 314?

GCD of 891, 693, 501, 314 is 1

2. Where do I get the detailed procedure to find GCD of 891, 693, 501, 314?

You can find a detailed procedure to find GCD of 891, 693, 501, 314 on our page.

3. How to find GCD of 891, 693, 501, 314 on a calculator?

You can find the GCD of 891, 693, 501, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.