GCD of 749, 196, 290 Calculator

Given Input numbers are 749, 196, 290

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 749, 196, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 196, 290 is 1.

Therefore, GCD of numbers 749, 196, 290 is 1

Given Input Data is 749, 196, 290

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 290 is 2 x 5 x 29

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(749, 196) = 20972

GCD(749, 196) = ( 749 x 196 ) / 20972

GCD(749, 196) = 146804 / 20972

GCD(749, 196) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 290

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

LCM(7, 290) = 2030

GCD(7, 290) = ( 7 x 290 ) / 2030

GCD(7, 290) = 2030 / 2030

GCD(7, 290) = 1

GCD of 749, 196, 290 is 1

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1. What is the GCD of 749, 196, 290?

GCD of 749, 196, 290 is 1

2. Where do I get the detailed procedure to find GCD of 749, 196, 290?

You can find a detailed procedure to find GCD of 749, 196, 290 on our page.

3. How to find GCD of 749, 196, 290 on a calculator?

You can find the GCD of 749, 196, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.