GCD of 978, 876, 471 Calculator

Given Input numbers are 978, 876, 471

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 978, 876, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 876, 471 is 3.

Therefore, GCD of numbers 978, 876, 471 is 3

Given Input Data is 978, 876, 471

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 876 is 2 x 2 x 3 x 73

Prime Factorization of 471 is 3 x 157

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 876) = 142788

GCD(978, 876) = ( 978 x 876 ) / 142788

GCD(978, 876) = 856728 / 142788

GCD(978, 876) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 471

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

LCM(6, 471) = 942

GCD(6, 471) = ( 6 x 471 ) / 942

GCD(6, 471) = 2826 / 942

GCD(6, 471) = 3

GCD of 978, 876, 471 is 3

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1. What is the GCD of 978, 876, 471?

GCD of 978, 876, 471 is 3

2. Where do I get the detailed procedure to find GCD of 978, 876, 471?

You can find a detailed procedure to find GCD of 978, 876, 471 on our page.

3. How to find GCD of 978, 876, 471 on a calculator?

You can find the GCD of 978, 876, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.