GCD of 59, 370, 235, 978 Calculator

Given Input numbers are 59, 370, 235, 978

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 59, 370, 235, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 370, 235, 978 is 1.

Therefore, GCD of numbers 59, 370, 235, 978 is 1

Given Input Data is 59, 370, 235, 978

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

Prime Factorization of 59 is 59

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 235 is 5 x 47

Prime Factorization of 978 is 2 x 3 x 163

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(59, 370) = 21830

GCD(59, 370) = ( 59 x 370 ) / 21830

GCD(59, 370) = 21830 / 21830

GCD(59, 370) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 59, 370, 235, 978 is 1

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1. What is the GCD of 59, 370, 235, 978?

GCD of 59, 370, 235, 978 is 1

2. Where do I get the detailed procedure to find GCD of 59, 370, 235, 978?

You can find a detailed procedure to find GCD of 59, 370, 235, 978 on our page.

3. How to find GCD of 59, 370, 235, 978 on a calculator?

You can find the GCD of 59, 370, 235, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.