GCD of 625, 106, 23, 749 Calculator

Given Input numbers are 625, 106, 23, 749

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 625, 106, 23, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 106, 23, 749 is 1.

Therefore, GCD of numbers 625, 106, 23, 749 is 1

Given Input Data is 625, 106, 23, 749

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 106 is 2 x 53

Prime Factorization of 23 is 23

Prime Factorization of 749 is 7 x 107

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(625, 106) = 66250

GCD(625, 106) = ( 625 x 106 ) / 66250

GCD(625, 106) = 66250 / 66250

GCD(625, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 625, 106, 23, 749 is 1

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• GCD of 498, 210, 19, 127
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1. What is the GCD of 625, 106, 23, 749?

GCD of 625, 106, 23, 749 is 1

2. Where do I get the detailed procedure to find GCD of 625, 106, 23, 749?

You can find a detailed procedure to find GCD of 625, 106, 23, 749 on our page.

3. How to find GCD of 625, 106, 23, 749 on a calculator?

You can find the GCD of 625, 106, 23, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.