GCD of 978, 840, 801 Calculator

Given Input numbers are 978, 840, 801

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 978, 840, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 840, 801 is 3.

Therefore, GCD of numbers 978, 840, 801 is 3

Given Input Data is 978, 840, 801

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 801 is 3 x 3 x 89

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, 840) = 136920

GCD(978, 840) = ( 978 x 840 ) / 136920

GCD(978, 840) = 821520 / 136920

GCD(978, 840) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 801

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

LCM(6, 801) = 1602

GCD(6, 801) = ( 6 x 801 ) / 1602

GCD(6, 801) = 4806 / 1602

GCD(6, 801) = 3

GCD of 978, 840, 801 is 3

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1. What is the GCD of 978, 840, 801?

GCD of 978, 840, 801 is 3

2. Where do I get the detailed procedure to find GCD of 978, 840, 801?

You can find a detailed procedure to find GCD of 978, 840, 801 on our page.

3. How to find GCD of 978, 840, 801 on a calculator?

You can find the GCD of 978, 840, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.