GCD of 172, 616, 890, 642 Calculator

Given Input numbers are 172, 616, 890, 642

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 172, 616, 890, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 616, 890, 642 is 2.

Therefore, GCD of numbers 172, 616, 890, 642 is 2

Given Input Data is 172, 616, 890, 642

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 642 is 2 x 3 x 107

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, 616) = 26488

GCD(172, 616) = ( 172 x 616 ) / 26488

GCD(172, 616) = 105952 / 26488

GCD(172, 616) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 890

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

LCM(4, 890) = 1780

GCD(4, 890) = ( 4 x 890 ) / 1780

GCD(4, 890) = 3560 / 1780

GCD(4, 890) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

GCD of 172, 616, 890, 642 is 2

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1. What is the GCD of 172, 616, 890, 642?

GCD of 172, 616, 890, 642 is 2

2. Where do I get the detailed procedure to find GCD of 172, 616, 890, 642?

You can find a detailed procedure to find GCD of 172, 616, 890, 642 on our page.

3. How to find GCD of 172, 616, 890, 642 on a calculator?

You can find the GCD of 172, 616, 890, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.