GCD of 742, 640, 34, 606 Calculator

Given Input numbers are 742, 640, 34, 606

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 742, 640, 34, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 640, 34, 606 is 2.

Therefore, GCD of numbers 742, 640, 34, 606 is 2

Given Input Data is 742, 640, 34, 606

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 606 is 2 x 3 x 101

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(742, 640) = 237440

GCD(742, 640) = ( 742 x 640 ) / 237440

GCD(742, 640) = 474880 / 237440

GCD(742, 640) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 606

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

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

GCD(2, 606) = 1212 / 606

GCD(2, 606) = 2

GCD of 742, 640, 34, 606 is 2

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1. What is the GCD of 742, 640, 34, 606?

GCD of 742, 640, 34, 606 is 2

2. Where do I get the detailed procedure to find GCD of 742, 640, 34, 606?

You can find a detailed procedure to find GCD of 742, 640, 34, 606 on our page.

3. How to find GCD of 742, 640, 34, 606 on a calculator?

You can find the GCD of 742, 640, 34, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.