GCD of 576, 664, 602, 970 Calculator

Given Input numbers are 576, 664, 602, 970

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 664

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

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

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 576, 664, 602, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 664, 602, 970 is 2.

Therefore, GCD of numbers 576, 664, 602, 970 is 2

Given Input Data is 576, 664, 602, 970

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 970 is 2 x 5 x 97

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(576, 664) = 47808

GCD(576, 664) = ( 576 x 664 ) / 47808

GCD(576, 664) = 382464 / 47808

GCD(576, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 602

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

LCM(8, 602) = 2408

GCD(8, 602) = ( 8 x 602 ) / 2408

GCD(8, 602) = 4816 / 2408

GCD(8, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 576, 664, 602, 970 is 2

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1. What is the GCD of 576, 664, 602, 970?

GCD of 576, 664, 602, 970 is 2

2. Where do I get the detailed procedure to find GCD of 576, 664, 602, 970?

You can find a detailed procedure to find GCD of 576, 664, 602, 970 on our page.

3. How to find GCD of 576, 664, 602, 970 on a calculator?

You can find the GCD of 576, 664, 602, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.