GCD of 172, 628, 670, 376 Calculator

Given Input numbers are 172, 628, 670, 376

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 376

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

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

Greatest Common Divisior

We found the divisors of 172, 628, 670, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 628, 670, 376 is 2.

Therefore, GCD of numbers 172, 628, 670, 376 is 2

Given Input Data is 172, 628, 670, 376

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 670 is 2 x 5 x 67

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

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(172, 628) = 27004

GCD(172, 628) = ( 172 x 628 ) / 27004

GCD(172, 628) = 108016 / 27004

GCD(172, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 670

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

LCM(4, 670) = 1340

GCD(4, 670) = ( 4 x 670 ) / 1340

GCD(4, 670) = 2680 / 1340

GCD(4, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

GCD of 172, 628, 670, 376 is 2

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1. What is the GCD of 172, 628, 670, 376?

GCD of 172, 628, 670, 376 is 2

2. Where do I get the detailed procedure to find GCD of 172, 628, 670, 376?

You can find a detailed procedure to find GCD of 172, 628, 670, 376 on our page.

3. How to find GCD of 172, 628, 670, 376 on a calculator?

You can find the GCD of 172, 628, 670, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.