GCD of 986, 738, 678 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 986, 738, 678 quickly. Get the easiest ways to solve the greatest common divisor of 986, 738, 678 i.e 2 in different methods as follows.
Given Input numbers are 986, 738, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (986, 738, 678) = 2.
Given numbers are 986, 738, 678
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 986, 738, 678 is 2.
Steps to Calculate GCD of 986, 738, 678 using LCM Formula
Given numbers are 986, 738, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 738) = 363834
GCD(986, 738) = ( 986 x 738 ) / 363834
= 986 / 738
= 986
Step2:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 986, 738, 678 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 986, 738, 678
Given numbers are 986, 738, 678
The greatest common divisor of numbers 986, 738, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 738, 678 is 2.
FAQs on GCD of 986, 738, 678 Calculator
1. What is the GCD of 986, 738, 678?
GCD of given numbers 986, 738, 678 is 2
2. How to calculate the greatest common divisor of 986, 738, 678?
We can find the highest common divisor of 986, 738, 678 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 986, 738, 678 i.e 2.
3. How can I use the GCD of 986, 738, 678Calculator?
Out the numbers 986, 738, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.