GCD of 319, 236, 84, 978 Calculator

Given Input numbers are 319, 236, 84, 978

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 319, 236, 84, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 236, 84, 978 is 1.

Therefore, GCD of numbers 319, 236, 84, 978 is 1

Given Input Data is 319, 236, 84, 978

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 84 is 2 x 2 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(319, 236) = 75284

GCD(319, 236) = ( 319 x 236 ) / 75284

GCD(319, 236) = 75284 / 75284

GCD(319, 236) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 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 319, 236, 84, 978 is 1

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• GCD of 198, 375, 43, 895
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• GCD of 653, 390, 80, 278

1. What is the GCD of 319, 236, 84, 978?

GCD of 319, 236, 84, 978 is 1

2. Where do I get the detailed procedure to find GCD of 319, 236, 84, 978?

You can find a detailed procedure to find GCD of 319, 236, 84, 978 on our page.

3. How to find GCD of 319, 236, 84, 978 on a calculator?

You can find the GCD of 319, 236, 84, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.