GCD of 918, 731, 946 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 918, 731, 946 quickly. Get the easiest ways to solve the greatest common divisor of 918, 731, 946 i.e 1 in different methods as follows.
Given Input numbers are 918, 731, 946
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 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (918, 731, 946) = 1.
Given numbers are 918, 731, 946
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 731 are 17 x 43
Prime factors of 946 are 2 x 11 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 918, 731, 946 using LCM Formula
Given numbers are 918, 731, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 731) = 39474
GCD(918, 731) = ( 918 x 731 ) / 39474
= 918 / 731
= 918
Step2:
LCM(17, 946) = 16082
GCD(17, 946) = ( 17 x 946 ) / 16082
= 17 / 946
= 17
So, Greatest Common Divisor of 918, 731, 946 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 918, 731, 946
Given numbers are 918, 731, 946
The greatest common divisor of numbers 918, 731, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 731, 946 is 1.
FAQs on GCD of 918, 731, 946 Calculator
1. What is the GCD of 918, 731, 946?
GCD of given numbers 918, 731, 946 is 1
2. How to calculate the greatest common divisor of 918, 731, 946?
We can find the highest common divisor of 918, 731, 946 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, 731, 946 i.e 1.
3. How can I use the GCD of 918, 731, 946Calculator?
Out the numbers 918, 731, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.