GCD of 222, 978, 182, 752 Calculator

Given Input numbers are 222, 978, 182, 752

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 222, 978, 182, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 978, 182, 752 is 2.

Therefore, GCD of numbers 222, 978, 182, 752 is 2

Given Input Data is 222, 978, 182, 752

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(222, 978) = 36186

GCD(222, 978) = ( 222 x 978 ) / 36186

GCD(222, 978) = 217116 / 36186

GCD(222, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 182

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

LCM(6, 182) = 546

GCD(6, 182) = ( 6 x 182 ) / 546

GCD(6, 182) = 1092 / 546

GCD(6, 182) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 222, 978, 182, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 380, 371, 998
• GCD of 314, 259, 773, 883
• GCD of 148, 505, 203, 916
• GCD of 881, 180, 123, 653
• GCD of 780, 663, 143, 947

1. What is the GCD of 222, 978, 182, 752?

GCD of 222, 978, 182, 752 is 2

2. Where do I get the detailed procedure to find GCD of 222, 978, 182, 752?

You can find a detailed procedure to find GCD of 222, 978, 182, 752 on our page.

3. How to find GCD of 222, 978, 182, 752 on a calculator?

You can find the GCD of 222, 978, 182, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.