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GCD of 918, 690, 136, 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 918, 690, 136, 834 quickly. Get the easiest ways to solve the greatest common divisor of 918, 690, 136, 834 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 690, 136, 834 with Factoring?

Given Input numbers are 918, 690, 136, 834

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

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 (918, 690, 136, 834) = 2.

Find GCD of 918, 690, 136, 834 using Prime Factorization

Given numbers are 918, 690, 136, 834

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 21

Therefore, GCD of 918, 690, 136, 834 is 2.

Steps to Calculate GCD of 918, 690, 136, 834 using LCM Formula

Given numbers are 918, 690, 136, 834

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

Apply this formula for all numbers.

Step1:

LCM(918, 690) = 105570

GCD(918, 690) = ( 918 x 690 ) / 105570

= 918 / 690

= 918


Step2:

LCM(6, 136) = 408

GCD(6, 136) = ( 6 x 136 ) / 408

= 6 / 136

= 6


Step3:

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

= 2 / 834

= 2


So, Greatest Common Divisor of 918, 690, 136, 834 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 690, 136, 834

Given numbers are 918, 690, 136, 834
The greatest common divisor of numbers 918, 690, 136, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 690, 136, 834 is 2.

FAQs on GCD of 918, 690, 136, 834 Calculator

1. What is the GCD of 918, 690, 136, 834?

GCD of given numbers 918, 690, 136, 834 is 2


2. How to calculate the greatest common divisor of 918, 690, 136, 834?

We can find the highest common divisor of 918, 690, 136, 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 918, 690, 136, 834 i.e 2.


3. How can I use the GCD of 918, 690, 136, 834Calculator?

Out the numbers 918, 690, 136, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.