GCD of 716, 670, 172, 964 Calculator

Given Input numbers are 716, 670, 172, 964

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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 172

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

1, 2, 4, 43, 86, 172

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 716, 670, 172, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 670, 172, 964 is 2.

Therefore, GCD of numbers 716, 670, 172, 964 is 2

Given Input Data is 716, 670, 172, 964

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 964 is 2 x 2 x 241

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(716, 670) = 239860

GCD(716, 670) = ( 716 x 670 ) / 239860

GCD(716, 670) = 479720 / 239860

GCD(716, 670) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 716, 670, 172, 964 is 2

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1. What is the GCD of 716, 670, 172, 964?

GCD of 716, 670, 172, 964 is 2

2. Where do I get the detailed procedure to find GCD of 716, 670, 172, 964?

You can find a detailed procedure to find GCD of 716, 670, 172, 964 on our page.

3. How to find GCD of 716, 670, 172, 964 on a calculator?

You can find the GCD of 716, 670, 172, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.