GCD of 101, 141, 890, 150 Calculator

Given Input numbers are 101, 141, 890, 150

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 890

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

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

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

Greatest Common Divisior

We found the divisors of 101, 141, 890, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 141, 890, 150 is 1.

Therefore, GCD of numbers 101, 141, 890, 150 is 1

Given Input Data is 101, 141, 890, 150

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

Prime Factorization of 101 is 101

Prime Factorization of 141 is 3 x 47

Prime Factorization of 890 is 2 x 5 x 89

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

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(101, 141) = 14241

GCD(101, 141) = ( 101 x 141 ) / 14241

GCD(101, 141) = 14241 / 14241

GCD(101, 141) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 101, 141, 890, 150 is 1

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1. What is the GCD of 101, 141, 890, 150?

GCD of 101, 141, 890, 150 is 1

2. Where do I get the detailed procedure to find GCD of 101, 141, 890, 150?

You can find a detailed procedure to find GCD of 101, 141, 890, 150 on our page.

3. How to find GCD of 101, 141, 890, 150 on a calculator?

You can find the GCD of 101, 141, 890, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.