GCD of 33, 377, 678, 715 Calculator

Given Input numbers are 33, 377, 678, 715

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

Divisors of 33

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

1, 3, 11, 33

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 33, 377, 678, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 377, 678, 715 is 1.

Therefore, GCD of numbers 33, 377, 678, 715 is 1

Given Input Data is 33, 377, 678, 715

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 377 is 13 x 29

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 715 is 5 x 11 x 13

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(33, 377) = 12441

GCD(33, 377) = ( 33 x 377 ) / 12441

GCD(33, 377) = 12441 / 12441

GCD(33, 377) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 33, 377, 678, 715 is 1

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1. What is the GCD of 33, 377, 678, 715?

GCD of 33, 377, 678, 715 is 1

2. Where do I get the detailed procedure to find GCD of 33, 377, 678, 715?

You can find a detailed procedure to find GCD of 33, 377, 678, 715 on our page.

3. How to find GCD of 33, 377, 678, 715 on a calculator?

You can find the GCD of 33, 377, 678, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.