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GCD of 742, 189, 328, 250 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 189, 328, 250 quickly. Get the easiest ways to solve the greatest common divisor of 742, 189, 328, 250 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 189, 328, 250 with Factoring?

Given Input numbers are 742, 189, 328, 250

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 189 :

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

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250


GCD of numbers is the greatest common divisor

So, the GCD (742, 189, 328, 250) = 1.

Find GCD of 742, 189, 328, 250 using Prime Factorization

Given numbers are 742, 189, 328, 250

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 250 are 2 x 5 x 5 x 5

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

Steps to Calculate GCD of 742, 189, 328, 250 using LCM Formula

Given numbers are 742, 189, 328, 250

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

Apply this formula for all numbers.

Step1:

LCM(742, 189) = 20034

GCD(742, 189) = ( 742 x 189 ) / 20034

= 742 / 189

= 742


Step2:

LCM(7, 328) = 2296

GCD(7, 328) = ( 7 x 328 ) / 2296

= 7 / 328

= 7


Step3:

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

= 1 / 250

= 1


So, Greatest Common Divisor of 742, 189, 328, 250 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 189, 328, 250

Given numbers are 742, 189, 328, 250
The greatest common divisor of numbers 742, 189, 328, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 189, 328, 250 is 1.

FAQs on GCD of 742, 189, 328, 250 Calculator

1. What is the GCD of 742, 189, 328, 250?

GCD of given numbers 742, 189, 328, 250 is 1


2. How to calculate the greatest common divisor of 742, 189, 328, 250?

We can find the highest common divisor of 742, 189, 328, 250 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 742, 189, 328, 250 i.e 1.


3. How can I use the GCD of 742, 189, 328, 250Calculator?

Out the numbers 742, 189, 328, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.