GCD of 778, 840, 654 Calculator

Given Input numbers are 778, 840, 654

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

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 654

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

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

Greatest Common Divisior

We found the divisors of 778, 840, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 840, 654 is 2.

Therefore, GCD of numbers 778, 840, 654 is 2

Given Input Data is 778, 840, 654

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 654 is 2 x 3 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(778, 840) = 326760

GCD(778, 840) = ( 778 x 840 ) / 326760

GCD(778, 840) = 653520 / 326760

GCD(778, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

GCD of 778, 840, 654 is 2

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1. What is the GCD of 778, 840, 654?

GCD of 778, 840, 654 is 2

2. Where do I get the detailed procedure to find GCD of 778, 840, 654?

You can find a detailed procedure to find GCD of 778, 840, 654 on our page.

3. How to find GCD of 778, 840, 654 on a calculator?

You can find the GCD of 778, 840, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.