GCD of 378, 392, 986 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 378, 392, 986 quickly. Get the easiest ways to solve the greatest common divisor of 378, 392, 986 i.e 2 in different methods as follows.
Given Input numbers are 378, 392, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (378, 392, 986) = 2.
Given numbers are 378, 392, 986
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 378, 392, 986 is 2.
Steps to Calculate GCD of 378, 392, 986 using LCM Formula
Given numbers are 378, 392, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 392) = 10584
GCD(378, 392) = ( 378 x 392 ) / 10584
= 378 / 392
= 378
Step2:
LCM(14, 986) = 6902
GCD(14, 986) = ( 14 x 986 ) / 6902
= 14 / 986
= 14
So, Greatest Common Divisor of 378, 392, 986 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 378, 392, 986
Given numbers are 378, 392, 986
The greatest common divisor of numbers 378, 392, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 392, 986 is 2.
FAQs on GCD of 378, 392, 986 Calculator
1. What is the GCD of 378, 392, 986?
GCD of given numbers 378, 392, 986 is 2
2. How to calculate the greatest common divisor of 378, 392, 986?
We can find the highest common divisor of 378, 392, 986 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 378, 392, 986 i.e 2.
3. How can I use the GCD of 378, 392, 986Calculator?
Out the numbers 378, 392, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.