GCD of 926, 976, 10, 172 Calculator

Given Input numbers are 926, 976, 10, 172

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 926, 976, 10, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 976, 10, 172 is 2.

Therefore, GCD of numbers 926, 976, 10, 172 is 2

Given Input Data is 926, 976, 10, 172

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 10 is 2 x 5

Prime Factorization of 172 is 2 x 2 x 43

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(926, 976) = 451888

GCD(926, 976) = ( 926 x 976 ) / 451888

GCD(926, 976) = 903776 / 451888

GCD(926, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 926, 976, 10, 172 is 2

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• GCD of 501, 831, 21, 526
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1. What is the GCD of 926, 976, 10, 172?

GCD of 926, 976, 10, 172 is 2

2. Where do I get the detailed procedure to find GCD of 926, 976, 10, 172?

You can find a detailed procedure to find GCD of 926, 976, 10, 172 on our page.

3. How to find GCD of 926, 976, 10, 172 on a calculator?

You can find the GCD of 926, 976, 10, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.