GCD of 303, 840, 64, 654 Calculator

Given Input numbers are 303, 840, 64, 654

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 303, 840, 64, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 840, 64, 654 is 1.

Therefore, GCD of numbers 303, 840, 64, 654 is 1

Given Input Data is 303, 840, 64, 654

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

Prime Factorization of 303 is 3 x 101

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 654 is 2 x 3 x 109

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(303, 840) = 84840

GCD(303, 840) = ( 303 x 840 ) / 84840

GCD(303, 840) = 254520 / 84840

GCD(303, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 303, 840, 64, 654 is 1

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1. What is the GCD of 303, 840, 64, 654?

GCD of 303, 840, 64, 654 is 1

2. Where do I get the detailed procedure to find GCD of 303, 840, 64, 654?

You can find a detailed procedure to find GCD of 303, 840, 64, 654 on our page.

3. How to find GCD of 303, 840, 64, 654 on a calculator?

You can find the GCD of 303, 840, 64, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.