GCD of 776, 738, 86, 588 Calculator

Given Input numbers are 776, 738, 86, 588

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

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 776, 738, 86, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 738, 86, 588 is 2.

Therefore, GCD of numbers 776, 738, 86, 588 is 2

Given Input Data is 776, 738, 86, 588

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

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 86 is 2 x 43

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(776, 738) = 286344

GCD(776, 738) = ( 776 x 738 ) / 286344

GCD(776, 738) = 572688 / 286344

GCD(776, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 776, 738, 86, 588 is 2

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• GCD of 531, 121, 91, 288
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1. What is the GCD of 776, 738, 86, 588?

GCD of 776, 738, 86, 588 is 2

2. Where do I get the detailed procedure to find GCD of 776, 738, 86, 588?

You can find a detailed procedure to find GCD of 776, 738, 86, 588 on our page.

3. How to find GCD of 776, 738, 86, 588 on a calculator?

You can find the GCD of 776, 738, 86, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.