GCD of 978, 486, 701, 307 Calculator

Given Input numbers are 978, 486, 701, 307

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

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 978, 486, 701, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 486, 701, 307 is 1.

Therefore, GCD of numbers 978, 486, 701, 307 is 1

Given Input Data is 978, 486, 701, 307

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 701 is 701

Prime Factorization of 307 is 307

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(978, 486) = 79218

GCD(978, 486) = ( 978 x 486 ) / 79218

GCD(978, 486) = 475308 / 79218

GCD(978, 486) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 701

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

LCM(6, 701) = 4206

GCD(6, 701) = ( 6 x 701 ) / 4206

GCD(6, 701) = 4206 / 4206

GCD(6, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 978, 486, 701, 307 is 1

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1. What is the GCD of 978, 486, 701, 307?

GCD of 978, 486, 701, 307 is 1

2. Where do I get the detailed procedure to find GCD of 978, 486, 701, 307?

You can find a detailed procedure to find GCD of 978, 486, 701, 307 on our page.

3. How to find GCD of 978, 486, 701, 307 on a calculator?

You can find the GCD of 978, 486, 701, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.