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GCD of 114, 359, 675, 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 114, 359, 675, 834 quickly. Get the easiest ways to solve the greatest common divisor of 114, 359, 675, 834 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 114, 359, 675, 834 with Factoring?

Given Input numbers are 114, 359, 675, 834

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 (114, 359, 675, 834) = 1.

Find GCD of 114, 359, 675, 834 using Prime Factorization

Given numbers are 114, 359, 675, 834

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 359 are 359

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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 114, 359, 675, 834 using LCM Formula

Given numbers are 114, 359, 675, 834

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

Apply this formula for all numbers.

Step1:

LCM(114, 359) = 40926

GCD(114, 359) = ( 114 x 359 ) / 40926

= 114 / 359

= 114


Step2:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1


Step3:

LCM(1, 834) = 834

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

= 1 / 834

= 1


So, Greatest Common Divisor of 114, 359, 675, 834 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 114, 359, 675, 834

Given numbers are 114, 359, 675, 834
The greatest common divisor of numbers 114, 359, 675, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 359, 675, 834 is 1.

FAQs on GCD of 114, 359, 675, 834 Calculator

1. What is the GCD of 114, 359, 675, 834?

GCD of given numbers 114, 359, 675, 834 is 1


2. How to calculate the greatest common divisor of 114, 359, 675, 834?

We can find the highest common divisor of 114, 359, 675, 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 114, 359, 675, 834 i.e 1.


3. How can I use the GCD of 114, 359, 675, 834Calculator?

Out the numbers 114, 359, 675, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.