GCD of 966, 567, 90, 149 Calculator

Given Input numbers are 966, 567, 90, 149

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 149

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

1, 149

Greatest Common Divisior

We found the divisors of 966, 567, 90, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 567, 90, 149 is 1.

Therefore, GCD of numbers 966, 567, 90, 149 is 1

Given Input Data is 966, 567, 90, 149

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 149 is 149

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(966, 567) = 26082

GCD(966, 567) = ( 966 x 567 ) / 26082

GCD(966, 567) = 547722 / 26082

GCD(966, 567) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 90

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

LCM(21, 90) = 630

GCD(21, 90) = ( 21 x 90 ) / 630

GCD(21, 90) = 1890 / 630

GCD(21, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 149

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

LCM(3, 149) = 447

GCD(3, 149) = ( 3 x 149 ) / 447

GCD(3, 149) = 447 / 447

GCD(3, 149) = 1

GCD of 966, 567, 90, 149 is 1

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• GCD of 859, 755, 60, 252
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1. What is the GCD of 966, 567, 90, 149?

GCD of 966, 567, 90, 149 is 1

2. Where do I get the detailed procedure to find GCD of 966, 567, 90, 149?

You can find a detailed procedure to find GCD of 966, 567, 90, 149 on our page.

3. How to find GCD of 966, 567, 90, 149 on a calculator?

You can find the GCD of 966, 567, 90, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.