GCD of 684, 150, 45, 140 Calculator

Given Input numbers are 684, 150, 45, 140

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 684, 150, 45, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 150, 45, 140 is 1.

Therefore, GCD of numbers 684, 150, 45, 140 is 1

Given Input Data is 684, 150, 45, 140

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 45 is 3 x 3 x 5

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

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(684, 150) = 17100

GCD(684, 150) = ( 684 x 150 ) / 17100

GCD(684, 150) = 102600 / 17100

GCD(684, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 45

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

LCM(6, 45) = 90

GCD(6, 45) = ( 6 x 45 ) / 90

GCD(6, 45) = 270 / 90

GCD(6, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 140

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

LCM(3, 140) = 420

GCD(3, 140) = ( 3 x 140 ) / 420

GCD(3, 140) = 420 / 420

GCD(3, 140) = 1

GCD of 684, 150, 45, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 824, 26, 859
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• GCD of 288, 788, 77, 546

1. What is the GCD of 684, 150, 45, 140?

GCD of 684, 150, 45, 140 is 1

2. Where do I get the detailed procedure to find GCD of 684, 150, 45, 140?

You can find a detailed procedure to find GCD of 684, 150, 45, 140 on our page.

3. How to find GCD of 684, 150, 45, 140 on a calculator?

You can find the GCD of 684, 150, 45, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.