GCD of 152, 880, 850, 174 Calculator

Given Input numbers are 152, 880, 850, 174

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 152, 880, 850, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 880, 850, 174 is 2.

Therefore, GCD of numbers 152, 880, 850, 174 is 2

Given Input Data is 152, 880, 850, 174

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 174 is 2 x 3 x 29

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(152, 880) = 16720

GCD(152, 880) = ( 152 x 880 ) / 16720

GCD(152, 880) = 133760 / 16720

GCD(152, 880) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 850

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

LCM(8, 850) = 3400

GCD(8, 850) = ( 8 x 850 ) / 3400

GCD(8, 850) = 6800 / 3400

GCD(8, 850) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 152, 880, 850, 174 is 2

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1. What is the GCD of 152, 880, 850, 174?

GCD of 152, 880, 850, 174 is 2

2. Where do I get the detailed procedure to find GCD of 152, 880, 850, 174?

You can find a detailed procedure to find GCD of 152, 880, 850, 174 on our page.

3. How to find GCD of 152, 880, 850, 174 on a calculator?

You can find the GCD of 152, 880, 850, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.