Where do I get the detailed procedure to find GCD of 749, 189, 251?

You can find a detailed procedure to find GCD of 749, 189, 251 on our page.

How to find GCD of 749, 189, 251 on a calculator?

You can find the GCD of 749, 189, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 749, 189, 251 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 749, 189, 251 quickly. Get the easiest ways to solve the greatest common divisor of 749, 189, 251 i.e 1 in different methods as follows.

How to Find GCD of Numbers 749, 189, 251 with Factoring?

Given Input numbers are 749, 189, 251

In the factoring method, we have to find the divisors of all numbers

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

GCD of numbers is the greatest common divisor

So, the GCD (749, 189, 251) = 1.

Find GCD of 749, 189, 251 using Prime Factorization

Given numbers are 749, 189, 251

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 251 are 251

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 749, 189, 251 using LCM Formula

Given numbers are 749, 189, 251

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(749, 189) = 20223

GCD(749, 189) = ( 749 x 189 ) / 20223

= 749 / 189

= 749

Step2:

LCM(7, 251) = 1757

GCD(7, 251) = ( 7 x 251 ) / 1757

= 7 / 251

= 7

So, Greatest Common Divisor of 749, 189, 251 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 749, 189, 251

Given numbers are 749, 189, 251
The greatest common divisor of numbers 749, 189, 251 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 189, 251 is 1.

FAQs on GCD of 749, 189, 251 Calculator

1. What is the GCD of 749, 189, 251?

GCD of given numbers 749, 189, 251 is 1

2. How to calculate the greatest common divisor of 749, 189, 251?

We can find the highest common divisor of 749, 189, 251 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 749, 189, 251 i.e 1.

3. How can I use the GCD of 749, 189, 251Calculator?

Out the numbers 749, 189, 251 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.