GCD of 690, 677, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 690, 677, 21 quickly. Get the easiest ways to solve the greatest common divisor of 690, 677, 21 i.e 1 in different methods as follows.
Given Input numbers are 690, 677, 21
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
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 (690, 677, 21) = 1.
Given numbers are 690, 677, 21
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 677 are 677
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 690, 677, 21 using LCM Formula
Given numbers are 690, 677, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 677) = 467130
GCD(690, 677) = ( 690 x 677 ) / 467130
= 690 / 677
= 690
Step2:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
So, Greatest Common Divisor of 690, 677, 21 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 690, 677, 21
Given numbers are 690, 677, 21
The greatest common divisor of numbers 690, 677, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 677, 21 is 1.
FAQs on GCD of 690, 677, 21 Calculator
1. What is the GCD of 690, 677, 21?
GCD of given numbers 690, 677, 21 is 1
2. How to calculate the greatest common divisor of 690, 677, 21?
We can find the highest common divisor of 690, 677, 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 690, 677, 21 i.e 1.
3. How can I use the GCD of 690, 677, 21Calculator?
Out the numbers 690, 677, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.