GCD of 77, 758, 394, 659 Calculator

Given Input numbers are 77, 758, 394, 659

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 77, 758, 394, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 758, 394, 659 is 1.

Therefore, GCD of numbers 77, 758, 394, 659 is 1

Given Input Data is 77, 758, 394, 659

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 758 is 2 x 379

Prime Factorization of 394 is 2 x 197

Prime Factorization of 659 is 659

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(77, 758) = 58366

GCD(77, 758) = ( 77 x 758 ) / 58366

GCD(77, 758) = 58366 / 58366

GCD(77, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 77, 758, 394, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 976, 514, 166
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• GCD of 87, 813, 895, 246
• GCD of 43, 783, 689, 931

1. What is the GCD of 77, 758, 394, 659?

GCD of 77, 758, 394, 659 is 1

2. Where do I get the detailed procedure to find GCD of 77, 758, 394, 659?

You can find a detailed procedure to find GCD of 77, 758, 394, 659 on our page.

3. How to find GCD of 77, 758, 394, 659 on a calculator?

You can find the GCD of 77, 758, 394, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.