GCD of 958, 628, 778 Calculator

Given Input numbers are 958, 628, 778

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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 958, 628, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 628, 778 is 2.

Therefore, GCD of numbers 958, 628, 778 is 2

Given Input Data is 958, 628, 778

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 628 is 2 x 2 x 157

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(958, 628) = 300812

GCD(958, 628) = ( 958 x 628 ) / 300812

GCD(958, 628) = 601624 / 300812

GCD(958, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 958, 628, 778 is 2

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1. What is the GCD of 958, 628, 778?

GCD of 958, 628, 778 is 2

2. Where do I get the detailed procedure to find GCD of 958, 628, 778?

You can find a detailed procedure to find GCD of 958, 628, 778 on our page.

3. How to find GCD of 958, 628, 778 on a calculator?

You can find the GCD of 958, 628, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.