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GCD of 918, 720, 842, 464 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, 720, 842, 464 quickly. Get the easiest ways to solve the greatest common divisor of 918, 720, 842, 464 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 720, 842, 464 with Factoring?

Given Input numbers are 918, 720, 842, 464

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464


GCD of numbers is the greatest common divisor

So, the GCD (918, 720, 842, 464) = 2.

Find GCD of 918, 720, 842, 464 using Prime Factorization

Given numbers are 918, 720, 842, 464

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 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 842 are 2 x 421

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 21

Therefore, GCD of 918, 720, 842, 464 is 2.

Steps to Calculate GCD of 918, 720, 842, 464 using LCM Formula

Given numbers are 918, 720, 842, 464

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

Apply this formula for all numbers.

Step1:

LCM(918, 720) = 36720

GCD(918, 720) = ( 918 x 720 ) / 36720

= 918 / 720

= 918


Step2:

LCM(18, 842) = 7578

GCD(18, 842) = ( 18 x 842 ) / 7578

= 18 / 842

= 18


Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2


So, Greatest Common Divisor of 918, 720, 842, 464 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 720, 842, 464

Given numbers are 918, 720, 842, 464
The greatest common divisor of numbers 918, 720, 842, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 720, 842, 464 is 2.

FAQs on GCD of 918, 720, 842, 464 Calculator

1. What is the GCD of 918, 720, 842, 464?

GCD of given numbers 918, 720, 842, 464 is 2


2. How to calculate the greatest common divisor of 918, 720, 842, 464?

We can find the highest common divisor of 918, 720, 842, 464 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, 720, 842, 464 i.e 2.


3. How can I use the GCD of 918, 720, 842, 464Calculator?

Out the numbers 918, 720, 842, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.