GCD of 938, 958, 102, 166 Calculator

Given Input numbers are 938, 958, 102, 166

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 938, 958, 102, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 958, 102, 166 is 2.

Therefore, GCD of numbers 938, 958, 102, 166 is 2

Given Input Data is 938, 958, 102, 166

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 958 is 2 x 479

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 166 is 2 x 83

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(938, 958) = 449302

GCD(938, 958) = ( 938 x 958 ) / 449302

GCD(938, 958) = 898604 / 449302

GCD(938, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 938, 958, 102, 166 is 2

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1. What is the GCD of 938, 958, 102, 166?

GCD of 938, 958, 102, 166 is 2

2. Where do I get the detailed procedure to find GCD of 938, 958, 102, 166?

You can find a detailed procedure to find GCD of 938, 958, 102, 166 on our page.

3. How to find GCD of 938, 958, 102, 166 on a calculator?

You can find the GCD of 938, 958, 102, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.