GCD of 34, 674, 470, 664 Calculator

Given Input numbers are 34, 674, 470, 664

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 34, 674, 470, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 674, 470, 664 is 2.

Therefore, GCD of numbers 34, 674, 470, 664 is 2

Given Input Data is 34, 674, 470, 664

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 674 is 2 x 337

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(34, 674) = 11458

GCD(34, 674) = ( 34 x 674 ) / 11458

GCD(34, 674) = 22916 / 11458

GCD(34, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

GCD of 34, 674, 470, 664 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 281, 833, 990
• GCD of 10, 739, 830, 834
• GCD of 87, 882, 584, 752
• GCD of 74, 237, 332, 175
• GCD of 47, 446, 412, 815

1. What is the GCD of 34, 674, 470, 664?

GCD of 34, 674, 470, 664 is 2

2. Where do I get the detailed procedure to find GCD of 34, 674, 470, 664?

You can find a detailed procedure to find GCD of 34, 674, 470, 664 on our page.

3. How to find GCD of 34, 674, 470, 664 on a calculator?

You can find the GCD of 34, 674, 470, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.