GCD of 701, 972, 814, 867 Calculator

Given Input numbers are 701, 972, 814, 867

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 814

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

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 701, 972, 814, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 972, 814, 867 is 1.

Therefore, GCD of numbers 701, 972, 814, 867 is 1

Given Input Data is 701, 972, 814, 867

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

Prime Factorization of 701 is 701

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 867 is 3 x 17 x 17

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(701, 972) = 681372

GCD(701, 972) = ( 701 x 972 ) / 681372

GCD(701, 972) = 681372 / 681372

GCD(701, 972) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 701, 972, 814, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 652, 425, 979
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• GCD of 701, 681, 745, 678

1. What is the GCD of 701, 972, 814, 867?

GCD of 701, 972, 814, 867 is 1

2. Where do I get the detailed procedure to find GCD of 701, 972, 814, 867?

You can find a detailed procedure to find GCD of 701, 972, 814, 867 on our page.

3. How to find GCD of 701, 972, 814, 867 on a calculator?

You can find the GCD of 701, 972, 814, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.