GCD of 670, 322, 986, 840 Calculator

Given Input numbers are 670, 322, 986, 840

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 670, 322, 986, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 322, 986, 840 is 2.

Therefore, GCD of numbers 670, 322, 986, 840 is 2

Given Input Data is 670, 322, 986, 840

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 322 is 2 x 7 x 23

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 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, 322) = 107870

GCD(670, 322) = ( 670 x 322 ) / 107870

GCD(670, 322) = 215740 / 107870

GCD(670, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

GCD of 670, 322, 986, 840 is 2

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1. What is the GCD of 670, 322, 986, 840?

GCD of 670, 322, 986, 840 is 2

2. Where do I get the detailed procedure to find GCD of 670, 322, 986, 840?

You can find a detailed procedure to find GCD of 670, 322, 986, 840 on our page.

3. How to find GCD of 670, 322, 986, 840 on a calculator?

You can find the GCD of 670, 322, 986, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.