GCD of 654, 978, 834 Calculator

Given Input numbers are 654, 978, 834

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

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 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 654, 978, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 978, 834 is 6.

Therefore, GCD of numbers 654, 978, 834 is 6

Given Input Data is 654, 978, 834

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 834 is 2 x 3 x 139

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(654, 978) = 106602

GCD(654, 978) = ( 654 x 978 ) / 106602

GCD(654, 978) = 639612 / 106602

GCD(654, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 834

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

LCM(6, 834) = 834

GCD(6, 834) = ( 6 x 834 ) / 834

GCD(6, 834) = 5004 / 834

GCD(6, 834) = 6

GCD of 654, 978, 834 is 6

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1. What is the GCD of 654, 978, 834?

GCD of 654, 978, 834 is 6

2. Where do I get the detailed procedure to find GCD of 654, 978, 834?

You can find a detailed procedure to find GCD of 654, 978, 834 on our page.

3. How to find GCD of 654, 978, 834 on a calculator?

You can find the GCD of 654, 978, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.