GCD of 608, 846, 66, 680 Calculator

Given Input numbers are 608, 846, 66, 680

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 608, 846, 66, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 846, 66, 680 is 2.

Therefore, GCD of numbers 608, 846, 66, 680 is 2

Given Input Data is 608, 846, 66, 680

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 66 is 2 x 3 x 11

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(608, 846) = 257184

GCD(608, 846) = ( 608 x 846 ) / 257184

GCD(608, 846) = 514368 / 257184

GCD(608, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 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 608, 846, 66, 680 is 2

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1. What is the GCD of 608, 846, 66, 680?

GCD of 608, 846, 66, 680 is 2

2. Where do I get the detailed procedure to find GCD of 608, 846, 66, 680?

You can find a detailed procedure to find GCD of 608, 846, 66, 680 on our page.

3. How to find GCD of 608, 846, 66, 680 on a calculator?

You can find the GCD of 608, 846, 66, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.