GCD of 402, 138, 714 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 402, 138, 714 quickly. Get the easiest ways to solve the greatest common divisor of 402, 138, 714 i.e 6 in different methods as follows.
Given Input numbers are 402, 138, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
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
GCD of numbers is the greatest common divisor
So, the GCD (402, 138, 714) = 6.
Given numbers are 402, 138, 714
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 138 are 2 x 3 x 23
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21 x 31
Therefore, GCD of 402, 138, 714 is 6.
Steps to Calculate GCD of 402, 138, 714 using LCM Formula
Given numbers are 402, 138, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 138) = 9246
GCD(402, 138) = ( 402 x 138 ) / 9246
= 402 / 138
= 402
Step2:
LCM(6, 714) = 714
GCD(6, 714) = ( 6 x 714 ) / 714
= 6 / 714
= 6
So, Greatest Common Divisor of 402, 138, 714 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 402, 138, 714
Given numbers are 402, 138, 714
The greatest common divisor of numbers 402, 138, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 138, 714 is 6.
FAQs on GCD of 402, 138, 714 Calculator
1. What is the GCD of 402, 138, 714?
GCD of given numbers 402, 138, 714 is 6
2. How to calculate the greatest common divisor of 402, 138, 714?
We can find the highest common divisor of 402, 138, 714 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 402, 138, 714 i.e 6.
3. How can I use the GCD of 402, 138, 714Calculator?
Out the numbers 402, 138, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.