GCD of 10, 718, 322, 778 Calculator

Given Input numbers are 10, 718, 322, 778

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 10, 718, 322, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 718, 322, 778 is 2.

Therefore, GCD of numbers 10, 718, 322, 778 is 2

Given Input Data is 10, 718, 322, 778

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 718 is 2 x 359

Prime Factorization of 322 is 2 x 7 x 23

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(10, 718) = 3590

GCD(10, 718) = ( 10 x 718 ) / 3590

GCD(10, 718) = 7180 / 3590

GCD(10, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

Step3:

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 10, 718, 322, 778 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 788, 628, 578
• GCD of 13, 205, 795, 690
• GCD of 32, 376, 183, 375
• GCD of 87, 858, 968, 516
• GCD of 56, 710, 994, 731

1. What is the GCD of 10, 718, 322, 778?

GCD of 10, 718, 322, 778 is 2

2. Where do I get the detailed procedure to find GCD of 10, 718, 322, 778?

You can find a detailed procedure to find GCD of 10, 718, 322, 778 on our page.

3. How to find GCD of 10, 718, 322, 778 on a calculator?

You can find the GCD of 10, 718, 322, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.