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GCD of 755, 180, 538, 182 Calculator

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


Online GCD Calculator is useful to find the GCD of 755, 180, 538, 182 quickly. Get the easiest ways to solve the greatest common divisor of 755, 180, 538, 182 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 755, 180, 538, 182 with Factoring?

Given Input numbers are 755, 180, 538, 182

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182


GCD of numbers is the greatest common divisor

So, the GCD (755, 180, 538, 182) = 1.

Find GCD of 755, 180, 538, 182 using Prime Factorization

Given numbers are 755, 180, 538, 182

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 538 are 2 x 269

Prime factors of 182 are 2 x 7 x 13

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

Steps to Calculate GCD of 755, 180, 538, 182 using LCM Formula

Given numbers are 755, 180, 538, 182

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

Apply this formula for all numbers.

Step1:

LCM(755, 180) = 27180

GCD(755, 180) = ( 755 x 180 ) / 27180

= 755 / 180

= 755


Step2:

LCM(5, 538) = 2690

GCD(5, 538) = ( 5 x 538 ) / 2690

= 5 / 538

= 5


Step3:

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

= 1 / 182

= 1


So, Greatest Common Divisor of 755, 180, 538, 182 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 755, 180, 538, 182

Given numbers are 755, 180, 538, 182
The greatest common divisor of numbers 755, 180, 538, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 180, 538, 182 is 1.

FAQs on GCD of 755, 180, 538, 182 Calculator

1. What is the GCD of 755, 180, 538, 182?

GCD of given numbers 755, 180, 538, 182 is 1


2. How to calculate the greatest common divisor of 755, 180, 538, 182?

We can find the highest common divisor of 755, 180, 538, 182 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 755, 180, 538, 182 i.e 1.


3. How can I use the GCD of 755, 180, 538, 182Calculator?

Out the numbers 755, 180, 538, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.