GCD of 176, 952, 60, 322 Calculator

Given Input numbers are 176, 952, 60, 322

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 322

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

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

Greatest Common Divisior

We found the divisors of 176, 952, 60, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 952, 60, 322 is 2.

Therefore, GCD of numbers 176, 952, 60, 322 is 2

Given Input Data is 176, 952, 60, 322

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 322 is 2 x 7 x 23

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(176, 952) = 20944

GCD(176, 952) = ( 176 x 952 ) / 20944

GCD(176, 952) = 167552 / 20944

GCD(176, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 60

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

LCM(8, 60) = 120

GCD(8, 60) = ( 8 x 60 ) / 120

GCD(8, 60) = 480 / 120

GCD(8, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 322

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

LCM(4, 322) = 644

GCD(4, 322) = ( 4 x 322 ) / 644

GCD(4, 322) = 1288 / 644

GCD(4, 322) = 2

GCD of 176, 952, 60, 322 is 2

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1. What is the GCD of 176, 952, 60, 322?

GCD of 176, 952, 60, 322 is 2

2. Where do I get the detailed procedure to find GCD of 176, 952, 60, 322?

You can find a detailed procedure to find GCD of 176, 952, 60, 322 on our page.

3. How to find GCD of 176, 952, 60, 322 on a calculator?

You can find the GCD of 176, 952, 60, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.