GCD of 376, 172, 962, 606 Calculator

Given Input numbers are 376, 172, 962, 606

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 376, 172, 962, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 172, 962, 606 is 2.

Therefore, GCD of numbers 376, 172, 962, 606 is 2

Given Input Data is 376, 172, 962, 606

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 606 is 2 x 3 x 101

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(376, 172) = 16168

GCD(376, 172) = ( 376 x 172 ) / 16168

GCD(376, 172) = 64672 / 16168

GCD(376, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 962

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

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

GCD(4, 962) = 3848 / 1924

GCD(4, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 606

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

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

GCD(2, 606) = 1212 / 606

GCD(2, 606) = 2

GCD of 376, 172, 962, 606 is 2

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1. What is the GCD of 376, 172, 962, 606?

GCD of 376, 172, 962, 606 is 2

2. Where do I get the detailed procedure to find GCD of 376, 172, 962, 606?

You can find a detailed procedure to find GCD of 376, 172, 962, 606 on our page.

3. How to find GCD of 376, 172, 962, 606 on a calculator?

You can find the GCD of 376, 172, 962, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.