GCD of 802, 140, 333, 954 Calculator

Given Input numbers are 802, 140, 333, 954

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 802, 140, 333, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 140, 333, 954 is 1.

Therefore, GCD of numbers 802, 140, 333, 954 is 1

Given Input Data is 802, 140, 333, 954

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(802, 140) = 56140

GCD(802, 140) = ( 802 x 140 ) / 56140

GCD(802, 140) = 112280 / 56140

GCD(802, 140) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 333

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

LCM(2, 333) = 666

GCD(2, 333) = ( 2 x 333 ) / 666

GCD(2, 333) = 666 / 666

GCD(2, 333) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 802, 140, 333, 954 is 1

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1. What is the GCD of 802, 140, 333, 954?

GCD of 802, 140, 333, 954 is 1

2. Where do I get the detailed procedure to find GCD of 802, 140, 333, 954?

You can find a detailed procedure to find GCD of 802, 140, 333, 954 on our page.

3. How to find GCD of 802, 140, 333, 954 on a calculator?

You can find the GCD of 802, 140, 333, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.