GCD of 657, 776, 455, 316 Calculator

Given Input numbers are 657, 776, 455, 316

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 657, 776, 455, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 776, 455, 316 is 1.

Therefore, GCD of numbers 657, 776, 455, 316 is 1

Given Input Data is 657, 776, 455, 316

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 316 is 2 x 2 x 79

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(657, 776) = 509832

GCD(657, 776) = ( 657 x 776 ) / 509832

GCD(657, 776) = 509832 / 509832

GCD(657, 776) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 657, 776, 455, 316 is 1

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1. What is the GCD of 657, 776, 455, 316?

GCD of 657, 776, 455, 316 is 1

2. Where do I get the detailed procedure to find GCD of 657, 776, 455, 316?

You can find a detailed procedure to find GCD of 657, 776, 455, 316 on our page.

3. How to find GCD of 657, 776, 455, 316 on a calculator?

You can find the GCD of 657, 776, 455, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.