GCD of 149, 875, 38, 969 Calculator

Given Input numbers are 149, 875, 38, 969

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 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 149, 875, 38, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 875, 38, 969 is 1.

Therefore, GCD of numbers 149, 875, 38, 969 is 1

Given Input Data is 149, 875, 38, 969

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

Prime Factorization of 149 is 149

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 38 is 2 x 19

Prime Factorization of 969 is 3 x 17 x 19

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, 875) = 130375

GCD(149, 875) = ( 149 x 875 ) / 130375

GCD(149, 875) = 130375 / 130375

GCD(149, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 149, 875, 38, 969 is 1

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1. What is the GCD of 149, 875, 38, 969?

GCD of 149, 875, 38, 969 is 1

2. Where do I get the detailed procedure to find GCD of 149, 875, 38, 969?

You can find a detailed procedure to find GCD of 149, 875, 38, 969 on our page.

3. How to find GCD of 149, 875, 38, 969 on a calculator?

You can find the GCD of 149, 875, 38, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.