GCD of 725, 800, 679, 949 Calculator

Given Input numbers are 725, 800, 679, 949

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 725, 800, 679, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 800, 679, 949 is 1.

Therefore, GCD of numbers 725, 800, 679, 949 is 1

Given Input Data is 725, 800, 679, 949

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 679 is 7 x 97

Prime Factorization of 949 is 13 x 73

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(725, 800) = 23200

GCD(725, 800) = ( 725 x 800 ) / 23200

GCD(725, 800) = 580000 / 23200

GCD(725, 800) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 679

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

LCM(25, 679) = 16975

GCD(25, 679) = ( 25 x 679 ) / 16975

GCD(25, 679) = 16975 / 16975

GCD(25, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 725, 800, 679, 949 is 1

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1. What is the GCD of 725, 800, 679, 949?

GCD of 725, 800, 679, 949 is 1

2. Where do I get the detailed procedure to find GCD of 725, 800, 679, 949?

You can find a detailed procedure to find GCD of 725, 800, 679, 949 on our page.

3. How to find GCD of 725, 800, 679, 949 on a calculator?

You can find the GCD of 725, 800, 679, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.