GCD of 670, 986, 996, 392 Calculator

Given Input numbers are 670, 986, 996, 392

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

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

Greatest Common Divisior

We found the divisors of 670, 986, 996, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 986, 996, 392 is 2.

Therefore, GCD of numbers 670, 986, 996, 392 is 2

Given Input Data is 670, 986, 996, 392

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 986 is 2 x 17 x 29

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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, 986) = 330310

GCD(670, 986) = ( 670 x 986 ) / 330310

GCD(670, 986) = 660620 / 330310

GCD(670, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 670, 986, 996, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 225, 553, 340
• GCD of 169, 914, 849, 171
• GCD of 930, 333, 536, 842
• GCD of 683, 434, 988, 409
• GCD of 252, 766, 637, 722

1. What is the GCD of 670, 986, 996, 392?

GCD of 670, 986, 996, 392 is 2

2. Where do I get the detailed procedure to find GCD of 670, 986, 996, 392?

You can find a detailed procedure to find GCD of 670, 986, 996, 392 on our page.

3. How to find GCD of 670, 986, 996, 392 on a calculator?

You can find the GCD of 670, 986, 996, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.