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GCD of 134, 475, 311, 382 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 475, 311, 382 quickly. Get the easiest ways to solve the greatest common divisor of 134, 475, 311, 382 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 475, 311, 382 with Factoring?

Given Input numbers are 134, 475, 311, 382

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382


GCD of numbers is the greatest common divisor

So, the GCD (134, 475, 311, 382) = 1.

Find GCD of 134, 475, 311, 382 using Prime Factorization

Given numbers are 134, 475, 311, 382

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 475 are 5 x 5 x 19

Prime factors of 311 are 311

Prime factors of 382 are 2 x 191

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

Steps to Calculate GCD of 134, 475, 311, 382 using LCM Formula

Given numbers are 134, 475, 311, 382

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

Apply this formula for all numbers.

Step1:

LCM(134, 475) = 63650

GCD(134, 475) = ( 134 x 475 ) / 63650

= 134 / 475

= 134


Step2:

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

= 1 / 311

= 1


Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


So, Greatest Common Divisor of 134, 475, 311, 382 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 475, 311, 382

Given numbers are 134, 475, 311, 382
The greatest common divisor of numbers 134, 475, 311, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 475, 311, 382 is 1.

FAQs on GCD of 134, 475, 311, 382 Calculator

1. What is the GCD of 134, 475, 311, 382?

GCD of given numbers 134, 475, 311, 382 is 1


2. How to calculate the greatest common divisor of 134, 475, 311, 382?

We can find the highest common divisor of 134, 475, 311, 382 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 134, 475, 311, 382 i.e 1.


3. How can I use the GCD of 134, 475, 311, 382Calculator?

Out the numbers 134, 475, 311, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.