GCD of 918, 442, 782 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 918, 442, 782 quickly. Get the easiest ways to solve the greatest common divisor of 918, 442, 782 i.e 34 in different methods as follows.
Given Input numbers are 918, 442, 782
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (918, 442, 782) = 34.
Given numbers are 918, 442, 782
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 442 are 2 x 13 x 17
Prime factors of 782 are 2 x 17 x 23
The highest common occurrence is 171 x 21
Therefore, GCD of 918, 442, 782 is 34.
Steps to Calculate GCD of 918, 442, 782 using LCM Formula
Given numbers are 918, 442, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 442) = 11934
GCD(918, 442) = ( 918 x 442 ) / 11934
= 918 / 442
= 918
Step2:
LCM(34, 782) = 782
GCD(34, 782) = ( 34 x 782 ) / 782
= 34 / 782
= 34
So, Greatest Common Divisor of 918, 442, 782 is 34
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 918, 442, 782
Given numbers are 918, 442, 782
The greatest common divisor of numbers 918, 442, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 442, 782 is 34.
FAQs on GCD of 918, 442, 782 Calculator
1. What is the GCD of 918, 442, 782?
GCD of given numbers 918, 442, 782 is 34
2. How to calculate the greatest common divisor of 918, 442, 782?
We can find the highest common divisor of 918, 442, 782 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, 442, 782 i.e 34.
3. How can I use the GCD of 918, 442, 782Calculator?
Out the numbers 918, 442, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.