GCD of 653, 749, 751, 360 Calculator

Given Input numbers are 653, 749, 751, 360

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 749

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

1, 7, 107, 749

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 653, 749, 751, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 749, 751, 360 is 1.

Therefore, GCD of numbers 653, 749, 751, 360 is 1

Given Input Data is 653, 749, 751, 360

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

Prime Factorization of 653 is 653

Prime Factorization of 749 is 7 x 107

Prime Factorization of 751 is 751

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(653, 749) = 489097

GCD(653, 749) = ( 653 x 749 ) / 489097

GCD(653, 749) = 489097 / 489097

GCD(653, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 751

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

LCM(1, 751) = 751

GCD(1, 751) = ( 1 x 751 ) / 751

GCD(1, 751) = 751 / 751

GCD(1, 751) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 653, 749, 751, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 130, 403, 574
• GCD of 617, 665, 969, 579
• GCD of 595, 477, 715, 252
• GCD of 699, 968, 125, 707
• GCD of 455, 511, 415, 566

1. What is the GCD of 653, 749, 751, 360?

GCD of 653, 749, 751, 360 is 1

2. Where do I get the detailed procedure to find GCD of 653, 749, 751, 360?

You can find a detailed procedure to find GCD of 653, 749, 751, 360 on our page.

3. How to find GCD of 653, 749, 751, 360 on a calculator?

You can find the GCD of 653, 749, 751, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.