GCD of 584, 156, 778 Calculator

Given Input numbers are 584, 156, 778

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 584, 156, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 156, 778 is 2.

Therefore, GCD of numbers 584, 156, 778 is 2

Given Input Data is 584, 156, 778

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 778 is 2 x 389

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(584, 156) = 22776

GCD(584, 156) = ( 584 x 156 ) / 22776

GCD(584, 156) = 91104 / 22776

GCD(584, 156) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 778

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

LCM(4, 778) = 1556

GCD(4, 778) = ( 4 x 778 ) / 1556

GCD(4, 778) = 3112 / 1556

GCD(4, 778) = 2

GCD of 584, 156, 778 is 2

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1. What is the GCD of 584, 156, 778?

GCD of 584, 156, 778 is 2

2. Where do I get the detailed procedure to find GCD of 584, 156, 778?

You can find a detailed procedure to find GCD of 584, 156, 778 on our page.

3. How to find GCD of 584, 156, 778 on a calculator?

You can find the GCD of 584, 156, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.