GCD of 76, 309, 657, 857 Calculator

Given Input numbers are 76, 309, 657, 857

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 76, 309, 657, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 309, 657, 857 is 1.

Therefore, GCD of numbers 76, 309, 657, 857 is 1

Given Input Data is 76, 309, 657, 857

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 309 is 3 x 103

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 857 is 857

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(76, 309) = 23484

GCD(76, 309) = ( 76 x 309 ) / 23484

GCD(76, 309) = 23484 / 23484

GCD(76, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 76, 309, 657, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 623, 244, 778
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• GCD of 60, 807, 140, 663
• GCD of 69, 127, 439, 166

1. What is the GCD of 76, 309, 657, 857?

GCD of 76, 309, 657, 857 is 1

2. Where do I get the detailed procedure to find GCD of 76, 309, 657, 857?

You can find a detailed procedure to find GCD of 76, 309, 657, 857 on our page.

3. How to find GCD of 76, 309, 657, 857 on a calculator?

You can find the GCD of 76, 309, 657, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.