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GCD of 178, 340, 388, 825 Calculator

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


Online GCD Calculator is useful to find the GCD of 178, 340, 388, 825 quickly. Get the easiest ways to solve the greatest common divisor of 178, 340, 388, 825 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 178, 340, 388, 825 with Factoring?

Given Input numbers are 178, 340, 388, 825

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825


GCD of numbers is the greatest common divisor

So, the GCD (178, 340, 388, 825) = 1.

Find GCD of 178, 340, 388, 825 using Prime Factorization

Given numbers are 178, 340, 388, 825

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 388 are 2 x 2 x 97

Prime factors of 825 are 3 x 5 x 5 x 11

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

Steps to Calculate GCD of 178, 340, 388, 825 using LCM Formula

Given numbers are 178, 340, 388, 825

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

Apply this formula for all numbers.

Step1:

LCM(178, 340) = 30260

GCD(178, 340) = ( 178 x 340 ) / 30260

= 178 / 340

= 178


Step2:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2


Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2


So, Greatest Common Divisor of 178, 340, 388, 825 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 178, 340, 388, 825

Given numbers are 178, 340, 388, 825
The greatest common divisor of numbers 178, 340, 388, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 340, 388, 825 is 1.

FAQs on GCD of 178, 340, 388, 825 Calculator

1. What is the GCD of 178, 340, 388, 825?

GCD of given numbers 178, 340, 388, 825 is 1


2. How to calculate the greatest common divisor of 178, 340, 388, 825?

We can find the highest common divisor of 178, 340, 388, 825 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 178, 340, 388, 825 i.e 1.


3. How can I use the GCD of 178, 340, 388, 825Calculator?

Out the numbers 178, 340, 388, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.