GCD of 701, 474, 25, 821 Calculator

Given Input numbers are 701, 474, 25, 821

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 821

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

1, 821

Greatest Common Divisior

We found the divisors of 701, 474, 25, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 474, 25, 821 is 1.

Therefore, GCD of numbers 701, 474, 25, 821 is 1

Given Input Data is 701, 474, 25, 821

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

Prime Factorization of 701 is 701

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 25 is 5 x 5

Prime Factorization of 821 is 821

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, 474) = 332274

GCD(701, 474) = ( 701 x 474 ) / 332274

GCD(701, 474) = 332274 / 332274

GCD(701, 474) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 701, 474, 25, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 422, 19, 932
• GCD of 967, 202, 42, 119
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• GCD of 670, 405, 86, 957

1. What is the GCD of 701, 474, 25, 821?

GCD of 701, 474, 25, 821 is 1

2. Where do I get the detailed procedure to find GCD of 701, 474, 25, 821?

You can find a detailed procedure to find GCD of 701, 474, 25, 821 on our page.

3. How to find GCD of 701, 474, 25, 821 on a calculator?

You can find the GCD of 701, 474, 25, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.