GCD of 602, 978, 71, 152 Calculator

Given Input numbers are 602, 978, 71, 152

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

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 602, 978, 71, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 978, 71, 152 is 1.

Therefore, GCD of numbers 602, 978, 71, 152 is 1

Given Input Data is 602, 978, 71, 152

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 71 is 71

Prime Factorization of 152 is 2 x 2 x 2 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(602, 978) = 294378

GCD(602, 978) = ( 602 x 978 ) / 294378

GCD(602, 978) = 588756 / 294378

GCD(602, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 602, 978, 71, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 699, 91, 842
• GCD of 114, 930, 28, 988
• GCD of 517, 888, 15, 963
• GCD of 200, 971, 64, 719
• GCD of 982, 749, 29, 266

1. What is the GCD of 602, 978, 71, 152?

GCD of 602, 978, 71, 152 is 1

2. Where do I get the detailed procedure to find GCD of 602, 978, 71, 152?

You can find a detailed procedure to find GCD of 602, 978, 71, 152 on our page.

3. How to find GCD of 602, 978, 71, 152 on a calculator?

You can find the GCD of 602, 978, 71, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.