GCD of 753, 353, 66, 360 Calculator

Given Input numbers are 753, 353, 66, 360

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 753, 353, 66, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 353, 66, 360 is 1.

Therefore, GCD of numbers 753, 353, 66, 360 is 1

Given Input Data is 753, 353, 66, 360

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 353 is 353

Prime Factorization of 66 is 2 x 3 x 11

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(753, 353) = 265809

GCD(753, 353) = ( 753 x 353 ) / 265809

GCD(753, 353) = 265809 / 265809

GCD(753, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 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 753, 353, 66, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 788, 44, 139
• GCD of 510, 757, 65, 440
• GCD of 867, 598, 14, 664
• GCD of 220, 882, 62, 528
• GCD of 118, 121, 80, 917

1. What is the GCD of 753, 353, 66, 360?

GCD of 753, 353, 66, 360 is 1

2. Where do I get the detailed procedure to find GCD of 753, 353, 66, 360?

You can find a detailed procedure to find GCD of 753, 353, 66, 360 on our page.

3. How to find GCD of 753, 353, 66, 360 on a calculator?

You can find the GCD of 753, 353, 66, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.