GCD of 207, 334, 378, 978 Calculator

Given Input numbers are 207, 334, 378, 978

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 207, 334, 378, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 334, 378, 978 is 1.

Therefore, GCD of numbers 207, 334, 378, 978 is 1

Given Input Data is 207, 334, 378, 978

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 334 is 2 x 167

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(207, 334) = 69138

GCD(207, 334) = ( 207 x 334 ) / 69138

GCD(207, 334) = 69138 / 69138

GCD(207, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 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 207, 334, 378, 978 is 1

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1. What is the GCD of 207, 334, 378, 978?

GCD of 207, 334, 378, 978 is 1

2. Where do I get the detailed procedure to find GCD of 207, 334, 378, 978?

You can find a detailed procedure to find GCD of 207, 334, 378, 978 on our page.

3. How to find GCD of 207, 334, 378, 978 on a calculator?

You can find the GCD of 207, 334, 378, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.