GCD of 670, 652, 360, 994 Calculator

Given Input numbers are 670, 652, 360, 994

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 670, 652, 360, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 652, 360, 994 is 2.

Therefore, GCD of numbers 670, 652, 360, 994 is 2

Given Input Data is 670, 652, 360, 994

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 652 is 2 x 2 x 163

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 994 is 2 x 7 x 71

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, 652) = 218420

GCD(670, 652) = ( 670 x 652 ) / 218420

GCD(670, 652) = 436840 / 218420

GCD(670, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 670, 652, 360, 994 is 2

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1. What is the GCD of 670, 652, 360, 994?

GCD of 670, 652, 360, 994 is 2

2. Where do I get the detailed procedure to find GCD of 670, 652, 360, 994?

You can find a detailed procedure to find GCD of 670, 652, 360, 994 on our page.

3. How to find GCD of 670, 652, 360, 994 on a calculator?

You can find the GCD of 670, 652, 360, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.