GCD of 630, 745, 33, 354 Calculator

Given Input numbers are 630, 745, 33, 354

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 630, 745, 33, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 745, 33, 354 is 1.

Therefore, GCD of numbers 630, 745, 33, 354 is 1

Given Input Data is 630, 745, 33, 354

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 745 is 5 x 149

Prime Factorization of 33 is 3 x 11

Prime Factorization of 354 is 2 x 3 x 59

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(630, 745) = 93870

GCD(630, 745) = ( 630 x 745 ) / 93870

GCD(630, 745) = 469350 / 93870

GCD(630, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 33

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

LCM(5, 33) = 165

GCD(5, 33) = ( 5 x 33 ) / 165

GCD(5, 33) = 165 / 165

GCD(5, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 630, 745, 33, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 586, 64, 495
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• GCD of 183, 981, 17, 617
• GCD of 949, 306, 58, 401

1. What is the GCD of 630, 745, 33, 354?

GCD of 630, 745, 33, 354 is 1

2. Where do I get the detailed procedure to find GCD of 630, 745, 33, 354?

You can find a detailed procedure to find GCD of 630, 745, 33, 354 on our page.

3. How to find GCD of 630, 745, 33, 354 on a calculator?

You can find the GCD of 630, 745, 33, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.