GCD of 892, 602, 680, 268 Calculator

Given Input numbers are 892, 602, 680, 268

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

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 892, 602, 680, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 602, 680, 268 is 2.

Therefore, GCD of numbers 892, 602, 680, 268 is 2

Given Input Data is 892, 602, 680, 268

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 268 is 2 x 2 x 67

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(892, 602) = 268492

GCD(892, 602) = ( 892 x 602 ) / 268492

GCD(892, 602) = 536984 / 268492

GCD(892, 602) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

GCD of 892, 602, 680, 268 is 2

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1. What is the GCD of 892, 602, 680, 268?

GCD of 892, 602, 680, 268 is 2

2. Where do I get the detailed procedure to find GCD of 892, 602, 680, 268?

You can find a detailed procedure to find GCD of 892, 602, 680, 268 on our page.

3. How to find GCD of 892, 602, 680, 268 on a calculator?

You can find the GCD of 892, 602, 680, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.