GCD of 958, 686, 84, 612 Calculator

Given Input numbers are 958, 686, 84, 612

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 958, 686, 84, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 686, 84, 612 is 2.

Therefore, GCD of numbers 958, 686, 84, 612 is 2

Given Input Data is 958, 686, 84, 612

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(958, 686) = 328594

GCD(958, 686) = ( 958 x 686 ) / 328594

GCD(958, 686) = 657188 / 328594

GCD(958, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

GCD of 958, 686, 84, 612 is 2

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1. What is the GCD of 958, 686, 84, 612?

GCD of 958, 686, 84, 612 is 2

2. Where do I get the detailed procedure to find GCD of 958, 686, 84, 612?

You can find a detailed procedure to find GCD of 958, 686, 84, 612 on our page.

3. How to find GCD of 958, 686, 84, 612 on a calculator?

You can find the GCD of 958, 686, 84, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.