GCD of 25, 949, 822, 745 Calculator

Given Input numbers are 25, 949, 822, 745

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

Divisors of 25

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

1, 5, 25

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 25, 949, 822, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 949, 822, 745 is 1.

Therefore, GCD of numbers 25, 949, 822, 745 is 1

Given Input Data is 25, 949, 822, 745

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 949 is 13 x 73

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 745 is 5 x 149

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(25, 949) = 23725

GCD(25, 949) = ( 25 x 949 ) / 23725

GCD(25, 949) = 23725 / 23725

GCD(25, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 25, 949, 822, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 660, 232, 740
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• GCD of 33, 819, 561, 902

1. What is the GCD of 25, 949, 822, 745?

GCD of 25, 949, 822, 745 is 1

2. Where do I get the detailed procedure to find GCD of 25, 949, 822, 745?

You can find a detailed procedure to find GCD of 25, 949, 822, 745 on our page.

3. How to find GCD of 25, 949, 822, 745 on a calculator?

You can find the GCD of 25, 949, 822, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.