GCD of 699, 456, 681 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 699, 456, 681 quickly. Get the easiest ways to solve the greatest common divisor of 699, 456, 681 i.e 3 in different methods as follows.
Given Input numbers are 699, 456, 681
In the factoring method, we have to find the divisors of all numbers
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
GCD of numbers is the greatest common divisor
So, the GCD (699, 456, 681) = 3.
Given numbers are 699, 456, 681
The list of prime factors of all numbers are
Prime factors of 699 are 3 x 233
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 681 are 3 x 227
The highest common occurrence is 31
Therefore, GCD of 699, 456, 681 is 3.
Steps to Calculate GCD of 699, 456, 681 using LCM Formula
Given numbers are 699, 456, 681
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(699, 456) = 106248
GCD(699, 456) = ( 699 x 456 ) / 106248
= 699 / 456
= 699
Step2:
LCM(3, 681) = 681
GCD(3, 681) = ( 3 x 681 ) / 681
= 3 / 681
= 3
So, Greatest Common Divisor of 699, 456, 681 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 699, 456, 681
Given numbers are 699, 456, 681
The greatest common divisor of numbers 699, 456, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 456, 681 is 3.
FAQs on GCD of 699, 456, 681 Calculator
1. What is the GCD of 699, 456, 681?
GCD of given numbers 699, 456, 681 is 3
2. How to calculate the greatest common divisor of 699, 456, 681?
We can find the highest common divisor of 699, 456, 681 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 699, 456, 681 i.e 3.
3. How can I use the GCD of 699, 456, 681Calculator?
Out the numbers 699, 456, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.