GCD of 658, 706, 78, 766 Calculator

Given Input numbers are 658, 706, 78, 766

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 658, 706, 78, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 706, 78, 766 is 2.

Therefore, GCD of numbers 658, 706, 78, 766 is 2

Given Input Data is 658, 706, 78, 766

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 706 is 2 x 353

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 766 is 2 x 383

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(658, 706) = 232274

GCD(658, 706) = ( 658 x 706 ) / 232274

GCD(658, 706) = 464548 / 232274

GCD(658, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 658, 706, 78, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 411, 60, 332
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• GCD of 522, 755, 75, 674

1. What is the GCD of 658, 706, 78, 766?

GCD of 658, 706, 78, 766 is 2

2. Where do I get the detailed procedure to find GCD of 658, 706, 78, 766?

You can find a detailed procedure to find GCD of 658, 706, 78, 766 on our page.

3. How to find GCD of 658, 706, 78, 766 on a calculator?

You can find the GCD of 658, 706, 78, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.