GCD of 651, 802, 914, 814 Calculator

Given Input numbers are 651, 802, 914, 814

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 651, 802, 914, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 802, 914, 814 is 1.

Therefore, GCD of numbers 651, 802, 914, 814 is 1

Given Input Data is 651, 802, 914, 814

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 802 is 2 x 401

Prime Factorization of 914 is 2 x 457

Prime Factorization of 814 is 2 x 11 x 37

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(651, 802) = 522102

GCD(651, 802) = ( 651 x 802 ) / 522102

GCD(651, 802) = 522102 / 522102

GCD(651, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 651, 802, 914, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 948, 460, 531
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• GCD of 999, 202, 350, 608

1. What is the GCD of 651, 802, 914, 814?

GCD of 651, 802, 914, 814 is 1

2. Where do I get the detailed procedure to find GCD of 651, 802, 914, 814?

You can find a detailed procedure to find GCD of 651, 802, 914, 814 on our page.

3. How to find GCD of 651, 802, 914, 814 on a calculator?

You can find the GCD of 651, 802, 914, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.