GCD of 749, 904, 725, 553 Calculator

Given Input numbers are 749, 904, 725, 553

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

Divisors of 749

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

1, 7, 107, 749

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 749, 904, 725, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 904, 725, 553 is 1.

Therefore, GCD of numbers 749, 904, 725, 553 is 1

Given Input Data is 749, 904, 725, 553

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 553 is 7 x 79

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(749, 904) = 677096

GCD(749, 904) = ( 749 x 904 ) / 677096

GCD(749, 904) = 677096 / 677096

GCD(749, 904) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 749, 904, 725, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 947, 957, 262
• GCD of 275, 534, 733, 988
• GCD of 879, 320, 173, 537
• GCD of 238, 705, 114, 581
• GCD of 941, 386, 944, 243

1. What is the GCD of 749, 904, 725, 553?

GCD of 749, 904, 725, 553 is 1

2. Where do I get the detailed procedure to find GCD of 749, 904, 725, 553?

You can find a detailed procedure to find GCD of 749, 904, 725, 553 on our page.

3. How to find GCD of 749, 904, 725, 553 on a calculator?

You can find the GCD of 749, 904, 725, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.