GCD of 670, 924, 722, 166 Calculator

Given Input numbers are 670, 924, 722, 166

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

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 670, 924, 722, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 924, 722, 166 is 2.

Therefore, GCD of numbers 670, 924, 722, 166 is 2

Given Input Data is 670, 924, 722, 166

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 166 is 2 x 83

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(670, 924) = 309540

GCD(670, 924) = ( 670 x 924 ) / 309540

GCD(670, 924) = 619080 / 309540

GCD(670, 924) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 670, 924, 722, 166 is 2

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1. What is the GCD of 670, 924, 722, 166?

GCD of 670, 924, 722, 166 is 2

2. Where do I get the detailed procedure to find GCD of 670, 924, 722, 166?

You can find a detailed procedure to find GCD of 670, 924, 722, 166 on our page.

3. How to find GCD of 670, 924, 722, 166 on a calculator?

You can find the GCD of 670, 924, 722, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.