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GCD of 918, 286, 618, 704 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, 286, 618, 704 quickly. Get the easiest ways to solve the greatest common divisor of 918, 286, 618, 704 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 286, 618, 704 with Factoring?

Given Input numbers are 918, 286, 618, 704

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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (918, 286, 618, 704) = 2.

Find GCD of 918, 286, 618, 704 using Prime Factorization

Given numbers are 918, 286, 618, 704

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 286 are 2 x 11 x 13

Prime factors of 618 are 2 x 3 x 103

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 21

Therefore, GCD of 918, 286, 618, 704 is 2.

Steps to Calculate GCD of 918, 286, 618, 704 using LCM Formula

Given numbers are 918, 286, 618, 704

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

Apply this formula for all numbers.

Step1:

LCM(918, 286) = 131274

GCD(918, 286) = ( 918 x 286 ) / 131274

= 918 / 286

= 918


Step2:

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

= 2 / 618

= 2


Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2


So, Greatest Common Divisor of 918, 286, 618, 704 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 286, 618, 704

Given numbers are 918, 286, 618, 704
The greatest common divisor of numbers 918, 286, 618, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 286, 618, 704 is 2.

FAQs on GCD of 918, 286, 618, 704 Calculator

1. What is the GCD of 918, 286, 618, 704?

GCD of given numbers 918, 286, 618, 704 is 2


2. How to calculate the greatest common divisor of 918, 286, 618, 704?

We can find the highest common divisor of 918, 286, 618, 704 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, 286, 618, 704 i.e 2.


3. How can I use the GCD of 918, 286, 618, 704Calculator?

Out the numbers 918, 286, 618, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.