GCD of 918, 730, 90 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 918, 730, 90 quickly. Get the easiest ways to solve the greatest common divisor of 918, 730, 90 i.e 2 in different methods as follows.
Given Input numbers are 918, 730, 90
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 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD of numbers is the greatest common divisor
So, the GCD (918, 730, 90) = 2.
Given numbers are 918, 730, 90
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 730 are 2 x 5 x 73
Prime factors of 90 are 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 918, 730, 90 is 2.
Steps to Calculate GCD of 918, 730, 90 using LCM Formula
Given numbers are 918, 730, 90
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 730) = 335070
GCD(918, 730) = ( 918 x 730 ) / 335070
= 918 / 730
= 918
Step2:
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
= 2 / 90
= 2
So, Greatest Common Divisor of 918, 730, 90 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 918, 730, 90
Given numbers are 918, 730, 90
The greatest common divisor of numbers 918, 730, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 730, 90 is 2.
FAQs on GCD of 918, 730, 90 Calculator
1. What is the GCD of 918, 730, 90?
GCD of given numbers 918, 730, 90 is 2
2. How to calculate the greatest common divisor of 918, 730, 90?
We can find the highest common divisor of 918, 730, 90 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, 730, 90 i.e 2.
3. How can I use the GCD of 918, 730, 90Calculator?
Out the numbers 918, 730, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.