GCD of 740, 612, 289, 874 Calculator

Given Input numbers are 740, 612, 289, 874

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 740, 612, 289, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 612, 289, 874 is 1.

Therefore, GCD of numbers 740, 612, 289, 874 is 1

Given Input Data is 740, 612, 289, 874

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 289 is 17 x 17

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(740, 612) = 113220

GCD(740, 612) = ( 740 x 612 ) / 113220

GCD(740, 612) = 452880 / 113220

GCD(740, 612) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 289

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

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

GCD(4, 289) = 1156 / 1156

GCD(4, 289) = 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 740, 612, 289, 874 is 1

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1. What is the GCD of 740, 612, 289, 874?

GCD of 740, 612, 289, 874 is 1

2. Where do I get the detailed procedure to find GCD of 740, 612, 289, 874?

You can find a detailed procedure to find GCD of 740, 612, 289, 874 on our page.

3. How to find GCD of 740, 612, 289, 874 on a calculator?

You can find the GCD of 740, 612, 289, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.