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GCD of 741, 132, 312, 181 Calculator

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


Online GCD Calculator is useful to find the GCD of 741, 132, 312, 181 quickly. Get the easiest ways to solve the greatest common divisor of 741, 132, 312, 181 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 741, 132, 312, 181 with Factoring?

Given Input numbers are 741, 132, 312, 181

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 181 :

The positive integer divisors of 181 that completely divides 181 are.

1, 181


GCD of numbers is the greatest common divisor

So, the GCD (741, 132, 312, 181) = 1.

Find GCD of 741, 132, 312, 181 using Prime Factorization

Given numbers are 741, 132, 312, 181

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 181 are 181

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

Steps to Calculate GCD of 741, 132, 312, 181 using LCM Formula

Given numbers are 741, 132, 312, 181

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

Apply this formula for all numbers.

Step1:

LCM(741, 132) = 32604

GCD(741, 132) = ( 741 x 132 ) / 32604

= 741 / 132

= 741


Step2:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3


Step3:

LCM(3, 181) = 543

GCD(3, 181) = ( 3 x 181 ) / 543

= 3 / 181

= 3


So, Greatest Common Divisor of 741, 132, 312, 181 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 741, 132, 312, 181

Given numbers are 741, 132, 312, 181
The greatest common divisor of numbers 741, 132, 312, 181 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 132, 312, 181 is 1.

FAQs on GCD of 741, 132, 312, 181 Calculator

1. What is the GCD of 741, 132, 312, 181?

GCD of given numbers 741, 132, 312, 181 is 1


2. How to calculate the greatest common divisor of 741, 132, 312, 181?

We can find the highest common divisor of 741, 132, 312, 181 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 741, 132, 312, 181 i.e 1.


3. How can I use the GCD of 741, 132, 312, 181Calculator?

Out the numbers 741, 132, 312, 181 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.