GCD of 678, 303, 202, 771 Calculator

Given Input numbers are 678, 303, 202, 771

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

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 303

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

1, 3, 101, 303

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 678, 303, 202, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 303, 202, 771 is 1.

Therefore, GCD of numbers 678, 303, 202, 771 is 1

Given Input Data is 678, 303, 202, 771

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 303 is 3 x 101

Prime Factorization of 202 is 2 x 101

Prime Factorization of 771 is 3 x 257

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(678, 303) = 68478

GCD(678, 303) = ( 678 x 303 ) / 68478

GCD(678, 303) = 205434 / 68478

GCD(678, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 202

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

LCM(3, 202) = 606

GCD(3, 202) = ( 3 x 202 ) / 606

GCD(3, 202) = 606 / 606

GCD(3, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 678, 303, 202, 771 is 1

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1. What is the GCD of 678, 303, 202, 771?

GCD of 678, 303, 202, 771 is 1

2. Where do I get the detailed procedure to find GCD of 678, 303, 202, 771?

You can find a detailed procedure to find GCD of 678, 303, 202, 771 on our page.

3. How to find GCD of 678, 303, 202, 771 on a calculator?

You can find the GCD of 678, 303, 202, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.