GCD of 148, 726, 718, 194 Calculator

Given Input numbers are 148, 726, 718, 194

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 148, 726, 718, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 726, 718, 194 is 2.

Therefore, GCD of numbers 148, 726, 718, 194 is 2

Given Input Data is 148, 726, 718, 194

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 726 is 2 x 3 x 11 x 11

Prime Factorization of 718 is 2 x 359

Prime Factorization of 194 is 2 x 97

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(148, 726) = 53724

GCD(148, 726) = ( 148 x 726 ) / 53724

GCD(148, 726) = 107448 / 53724

GCD(148, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

GCD of 148, 726, 718, 194 is 2

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1. What is the GCD of 148, 726, 718, 194?

GCD of 148, 726, 718, 194 is 2

2. Where do I get the detailed procedure to find GCD of 148, 726, 718, 194?

You can find a detailed procedure to find GCD of 148, 726, 718, 194 on our page.

3. How to find GCD of 148, 726, 718, 194 on a calculator?

You can find the GCD of 148, 726, 718, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.