GCD of 977, 814, 721 Calculator

Given Input numbers are 977, 814, 721

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 977, 814, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 814, 721 is 1.

Therefore, GCD of numbers 977, 814, 721 is 1

Given Input Data is 977, 814, 721

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

Prime Factorization of 977 is 977

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 721 is 7 x 103

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(977, 814) = 795278

GCD(977, 814) = ( 977 x 814 ) / 795278

GCD(977, 814) = 795278 / 795278

GCD(977, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 977, 814, 721 is 1

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1. What is the GCD of 977, 814, 721?

GCD of 977, 814, 721 is 1

2. Where do I get the detailed procedure to find GCD of 977, 814, 721?

You can find a detailed procedure to find GCD of 977, 814, 721 on our page.

3. How to find GCD of 977, 814, 721 on a calculator?

You can find the GCD of 977, 814, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.