GCD of 693, 748, 217 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 693, 748, 217 quickly. Get the easiest ways to solve the greatest common divisor of 693, 748, 217 i.e 1 in different methods as follows.
Given Input numbers are 693, 748, 217
In the factoring method, we have to find the divisors of all numbers
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (693, 748, 217) = 1.
Given numbers are 693, 748, 217
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 693, 748, 217 using LCM Formula
Given numbers are 693, 748, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 748) = 47124
GCD(693, 748) = ( 693 x 748 ) / 47124
= 693 / 748
= 693
Step2:
LCM(11, 217) = 2387
GCD(11, 217) = ( 11 x 217 ) / 2387
= 11 / 217
= 11
So, Greatest Common Divisor of 693, 748, 217 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 693, 748, 217
Given numbers are 693, 748, 217
The greatest common divisor of numbers 693, 748, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 748, 217 is 1.
FAQs on GCD of 693, 748, 217 Calculator
1. What is the GCD of 693, 748, 217?
GCD of given numbers 693, 748, 217 is 1
2. How to calculate the greatest common divisor of 693, 748, 217?
We can find the highest common divisor of 693, 748, 217 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 693, 748, 217 i.e 1.
3. How can I use the GCD of 693, 748, 217Calculator?
Out the numbers 693, 748, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.