GCD of 45, 656, 303, 274 Calculator

Given Input numbers are 45, 656, 303, 274

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 45, 656, 303, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 656, 303, 274 is 1.

Therefore, GCD of numbers 45, 656, 303, 274 is 1

Given Input Data is 45, 656, 303, 274

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 303 is 3 x 101

Prime Factorization of 274 is 2 x 137

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(45, 656) = 29520

GCD(45, 656) = ( 45 x 656 ) / 29520

GCD(45, 656) = 29520 / 29520

GCD(45, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 45, 656, 303, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 642, 166, 352
• GCD of 25, 821, 243, 865
• GCD of 83, 490, 410, 735
• GCD of 80, 310, 573, 612
• GCD of 44, 654, 157, 566

1. What is the GCD of 45, 656, 303, 274?

GCD of 45, 656, 303, 274 is 1

2. Where do I get the detailed procedure to find GCD of 45, 656, 303, 274?

You can find a detailed procedure to find GCD of 45, 656, 303, 274 on our page.

3. How to find GCD of 45, 656, 303, 274 on a calculator?

You can find the GCD of 45, 656, 303, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.