GCD of 286, 892, 138, 680 Calculator

Given Input numbers are 286, 892, 138, 680

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 286, 892, 138, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 892, 138, 680 is 2.

Therefore, GCD of numbers 286, 892, 138, 680 is 2

Given Input Data is 286, 892, 138, 680

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 680 is 2 x 2 x 2 x 5 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(286, 892) = 127556

GCD(286, 892) = ( 286 x 892 ) / 127556

GCD(286, 892) = 255112 / 127556

GCD(286, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 286, 892, 138, 680 is 2

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1. What is the GCD of 286, 892, 138, 680?

GCD of 286, 892, 138, 680 is 2

2. Where do I get the detailed procedure to find GCD of 286, 892, 138, 680?

You can find a detailed procedure to find GCD of 286, 892, 138, 680 on our page.

3. How to find GCD of 286, 892, 138, 680 on a calculator?

You can find the GCD of 286, 892, 138, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.