GCD of 694, 261, 291, 978 Calculator

Given Input numbers are 694, 261, 291, 978

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 694, 261, 291, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 261, 291, 978 is 1.

Therefore, GCD of numbers 694, 261, 291, 978 is 1

Given Input Data is 694, 261, 291, 978

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 291 is 3 x 97

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(694, 261) = 181134

GCD(694, 261) = ( 694 x 261 ) / 181134

GCD(694, 261) = 181134 / 181134

GCD(694, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 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 694, 261, 291, 978 is 1

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1. What is the GCD of 694, 261, 291, 978?

GCD of 694, 261, 291, 978 is 1

2. Where do I get the detailed procedure to find GCD of 694, 261, 291, 978?

You can find a detailed procedure to find GCD of 694, 261, 291, 978 on our page.

3. How to find GCD of 694, 261, 291, 978 on a calculator?

You can find the GCD of 694, 261, 291, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.