GCD of 821, 664, 70, 725 Calculator

Given Input numbers are 821, 664, 70, 725

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 821, 664, 70, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 664, 70, 725 is 1.

Therefore, GCD of numbers 821, 664, 70, 725 is 1

Given Input Data is 821, 664, 70, 725

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

Prime Factorization of 821 is 821

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 725 is 5 x 5 x 29

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(821, 664) = 545144

GCD(821, 664) = ( 821 x 664 ) / 545144

GCD(821, 664) = 545144 / 545144

GCD(821, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 821, 664, 70, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 374, 65, 863
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• GCD of 301, 202, 20, 488

1. What is the GCD of 821, 664, 70, 725?

GCD of 821, 664, 70, 725 is 1

2. Where do I get the detailed procedure to find GCD of 821, 664, 70, 725?

You can find a detailed procedure to find GCD of 821, 664, 70, 725 on our page.

3. How to find GCD of 821, 664, 70, 725 on a calculator?

You can find the GCD of 821, 664, 70, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.