GCD of 315, 550, 90, 743 Calculator

Given Input numbers are 315, 550, 90, 743

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 315, 550, 90, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 550, 90, 743 is 1.

Therefore, GCD of numbers 315, 550, 90, 743 is 1

Given Input Data is 315, 550, 90, 743

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 743 is 743

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(315, 550) = 34650

GCD(315, 550) = ( 315 x 550 ) / 34650

GCD(315, 550) = 173250 / 34650

GCD(315, 550) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 90

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

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

GCD(5, 90) = 450 / 90

GCD(5, 90) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 743

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

LCM(5, 743) = 3715

GCD(5, 743) = ( 5 x 743 ) / 3715

GCD(5, 743) = 3715 / 3715

GCD(5, 743) = 1

GCD of 315, 550, 90, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 802, 13, 183
• GCD of 657, 344, 81, 916
• GCD of 149, 939, 60, 504
• GCD of 515, 363, 77, 803
• GCD of 227, 887, 38, 457

1. What is the GCD of 315, 550, 90, 743?

GCD of 315, 550, 90, 743 is 1

2. Where do I get the detailed procedure to find GCD of 315, 550, 90, 743?

You can find a detailed procedure to find GCD of 315, 550, 90, 743 on our page.

3. How to find GCD of 315, 550, 90, 743 on a calculator?

You can find the GCD of 315, 550, 90, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.