GCD of 675, 144, 140, 890 Calculator

Given Input numbers are 675, 144, 140, 890

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 675, 144, 140, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 144, 140, 890 is 1.

Therefore, GCD of numbers 675, 144, 140, 890 is 1

Given Input Data is 675, 144, 140, 890

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 890 is 2 x 5 x 89

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(675, 144) = 10800

GCD(675, 144) = ( 675 x 144 ) / 10800

GCD(675, 144) = 97200 / 10800

GCD(675, 144) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 140

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

LCM(9, 140) = 1260

GCD(9, 140) = ( 9 x 140 ) / 1260

GCD(9, 140) = 1260 / 1260

GCD(9, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 675, 144, 140, 890 is 1

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1. What is the GCD of 675, 144, 140, 890?

GCD of 675, 144, 140, 890 is 1

2. Where do I get the detailed procedure to find GCD of 675, 144, 140, 890?

You can find a detailed procedure to find GCD of 675, 144, 140, 890 on our page.

3. How to find GCD of 675, 144, 140, 890 on a calculator?

You can find the GCD of 675, 144, 140, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.