GCD of 714, 584, 198 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 714, 584, 198 quickly. Get the easiest ways to solve the greatest common divisor of 714, 584, 198 i.e 2 in different methods as follows.
Given Input numbers are 714, 584, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (714, 584, 198) = 2.
Given numbers are 714, 584, 198
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 714, 584, 198 is 2.
Steps to Calculate GCD of 714, 584, 198 using LCM Formula
Given numbers are 714, 584, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 584) = 208488
GCD(714, 584) = ( 714 x 584 ) / 208488
= 714 / 584
= 714
Step2:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
So, Greatest Common Divisor of 714, 584, 198 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 714, 584, 198
Given numbers are 714, 584, 198
The greatest common divisor of numbers 714, 584, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 584, 198 is 2.
FAQs on GCD of 714, 584, 198 Calculator
1. What is the GCD of 714, 584, 198?
GCD of given numbers 714, 584, 198 is 2
2. How to calculate the greatest common divisor of 714, 584, 198?
We can find the highest common divisor of 714, 584, 198 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 714, 584, 198 i.e 2.
3. How can I use the GCD of 714, 584, 198Calculator?
Out the numbers 714, 584, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.