GCD of 146, 674, 734 Calculator

Given Input numbers are 146, 674, 734

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 146, 674, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 674, 734 is 2.

Therefore, GCD of numbers 146, 674, 734 is 2

Given Input Data is 146, 674, 734

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 674 is 2 x 337

Prime Factorization of 734 is 2 x 367

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(146, 674) = 49202

GCD(146, 674) = ( 146 x 674 ) / 49202

GCD(146, 674) = 98404 / 49202

GCD(146, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 146, 674, 734 is 2

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1. What is the GCD of 146, 674, 734?

GCD of 146, 674, 734 is 2

2. Where do I get the detailed procedure to find GCD of 146, 674, 734?

You can find a detailed procedure to find GCD of 146, 674, 734 on our page.

3. How to find GCD of 146, 674, 734 on a calculator?

You can find the GCD of 146, 674, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.