GCD of 784, 164, 70, 172 Calculator

Given Input numbers are 784, 164, 70, 172

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 784, 164, 70, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 164, 70, 172 is 2.

Therefore, GCD of numbers 784, 164, 70, 172 is 2

Given Input Data is 784, 164, 70, 172

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 70 is 2 x 5 x 7

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(784, 164) = 32144

GCD(784, 164) = ( 784 x 164 ) / 32144

GCD(784, 164) = 128576 / 32144

GCD(784, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 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 784, 164, 70, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 144, 90, 781
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• GCD of 268, 561, 50, 224
• GCD of 655, 602, 56, 582

1. What is the GCD of 784, 164, 70, 172?

GCD of 784, 164, 70, 172 is 2

2. Where do I get the detailed procedure to find GCD of 784, 164, 70, 172?

You can find a detailed procedure to find GCD of 784, 164, 70, 172 on our page.

3. How to find GCD of 784, 164, 70, 172 on a calculator?

You can find the GCD of 784, 164, 70, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.