GCD of 170, 138, 320, 374 Calculator

Given Input numbers are 170, 138, 320, 374

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 170, 138, 320, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 138, 320, 374 is 2.

Therefore, GCD of numbers 170, 138, 320, 374 is 2

Given Input Data is 170, 138, 320, 374

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 374 is 2 x 11 x 17

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(170, 138) = 11730

GCD(170, 138) = ( 170 x 138 ) / 11730

GCD(170, 138) = 23460 / 11730

GCD(170, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 170, 138, 320, 374 is 2

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• GCD of 955, 259, 852, 298
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1. What is the GCD of 170, 138, 320, 374?

GCD of 170, 138, 320, 374 is 2

2. Where do I get the detailed procedure to find GCD of 170, 138, 320, 374?

You can find a detailed procedure to find GCD of 170, 138, 320, 374 on our page.

3. How to find GCD of 170, 138, 320, 374 on a calculator?

You can find the GCD of 170, 138, 320, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.