GCD of 149, 217, 32, 690 Calculator

Given Input numbers are 149, 217, 32, 690

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 149, 217, 32, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 217, 32, 690 is 1.

Therefore, GCD of numbers 149, 217, 32, 690 is 1

Given Input Data is 149, 217, 32, 690

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

Prime Factorization of 149 is 149

Prime Factorization of 217 is 7 x 31

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(149, 217) = 32333

GCD(149, 217) = ( 149 x 217 ) / 32333

GCD(149, 217) = 32333 / 32333

GCD(149, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 149, 217, 32, 690 is 1

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1. What is the GCD of 149, 217, 32, 690?

GCD of 149, 217, 32, 690 is 1

2. Where do I get the detailed procedure to find GCD of 149, 217, 32, 690?

You can find a detailed procedure to find GCD of 149, 217, 32, 690 on our page.

3. How to find GCD of 149, 217, 32, 690 on a calculator?

You can find the GCD of 149, 217, 32, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.