GCD of 714, 688, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 714, 688, 21 quickly. Get the easiest ways to solve the greatest common divisor of 714, 688, 21 i.e 1 in different methods as follows.
Given Input numbers are 714, 688, 21
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 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (714, 688, 21) = 1.
Given numbers are 714, 688, 21
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 21 are 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 714, 688, 21 using LCM Formula
Given numbers are 714, 688, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 688) = 245616
GCD(714, 688) = ( 714 x 688 ) / 245616
= 714 / 688
= 714
Step2:
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
= 2 / 21
= 2
So, Greatest Common Divisor of 714, 688, 21 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 714, 688, 21
Given numbers are 714, 688, 21
The greatest common divisor of numbers 714, 688, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 688, 21 is 1.
FAQs on GCD of 714, 688, 21 Calculator
1. What is the GCD of 714, 688, 21?
GCD of given numbers 714, 688, 21 is 1
2. How to calculate the greatest common divisor of 714, 688, 21?
We can find the highest common divisor of 714, 688, 21 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, 688, 21 i.e 1.
3. How can I use the GCD of 714, 688, 21Calculator?
Out the numbers 714, 688, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.