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GCD of 141, 396, 314, 834 Calculator

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


Online GCD Calculator is useful to find the GCD of 141, 396, 314, 834 quickly. Get the easiest ways to solve the greatest common divisor of 141, 396, 314, 834 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 141, 396, 314, 834 with Factoring?

Given Input numbers are 141, 396, 314, 834

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

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834


GCD of numbers is the greatest common divisor

So, the GCD (141, 396, 314, 834) = 1.

Find GCD of 141, 396, 314, 834 using Prime Factorization

Given numbers are 141, 396, 314, 834

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 314 are 2 x 157

Prime factors of 834 are 2 x 3 x 139

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

Steps to Calculate GCD of 141, 396, 314, 834 using LCM Formula

Given numbers are 141, 396, 314, 834

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

Apply this formula for all numbers.

Step1:

LCM(141, 396) = 18612

GCD(141, 396) = ( 141 x 396 ) / 18612

= 141 / 396

= 141


Step2:

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

= 3 / 314

= 3


Step3:

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

= 1 / 834

= 1


So, Greatest Common Divisor of 141, 396, 314, 834 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 141, 396, 314, 834

Given numbers are 141, 396, 314, 834
The greatest common divisor of numbers 141, 396, 314, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 396, 314, 834 is 1.

FAQs on GCD of 141, 396, 314, 834 Calculator

1. What is the GCD of 141, 396, 314, 834?

GCD of given numbers 141, 396, 314, 834 is 1


2. How to calculate the greatest common divisor of 141, 396, 314, 834?

We can find the highest common divisor of 141, 396, 314, 834 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 141, 396, 314, 834 i.e 1.


3. How can I use the GCD of 141, 396, 314, 834Calculator?

Out the numbers 141, 396, 314, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.