GCD of 148, 966, 939, 874 Calculator

Given Input numbers are 148, 966, 939, 874

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 148, 966, 939, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 966, 939, 874 is 1.

Therefore, GCD of numbers 148, 966, 939, 874 is 1

Given Input Data is 148, 966, 939, 874

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

Prime Factorization of 148 is 2 x 2 x 37

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

Prime Factorization of 939 is 3 x 313

Prime Factorization of 874 is 2 x 19 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(148, 966) = 71484

GCD(148, 966) = ( 148 x 966 ) / 71484

GCD(148, 966) = 142968 / 71484

GCD(148, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 939

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

LCM(2, 939) = 1878

GCD(2, 939) = ( 2 x 939 ) / 1878

GCD(2, 939) = 1878 / 1878

GCD(2, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 148, 966, 939, 874 is 1

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1. What is the GCD of 148, 966, 939, 874?

GCD of 148, 966, 939, 874 is 1

2. Where do I get the detailed procedure to find GCD of 148, 966, 939, 874?

You can find a detailed procedure to find GCD of 148, 966, 939, 874 on our page.

3. How to find GCD of 148, 966, 939, 874 on a calculator?

You can find the GCD of 148, 966, 939, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.