GCD of 699, 705, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 699, 705, 660 quickly. Get the easiest ways to solve the greatest common divisor of 699, 705, 660 i.e 3 in different methods as follows.
Given Input numbers are 699, 705, 660
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 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (699, 705, 660) = 3.
Given numbers are 699, 705, 660
The list of prime factors of all numbers are
Prime factors of 699 are 3 x 233
Prime factors of 705 are 3 x 5 x 47
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 699, 705, 660 is 3.
Steps to Calculate GCD of 699, 705, 660 using LCM Formula
Given numbers are 699, 705, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(699, 705) = 164265
GCD(699, 705) = ( 699 x 705 ) / 164265
= 699 / 705
= 699
Step2:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
So, Greatest Common Divisor of 699, 705, 660 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 699, 705, 660
Given numbers are 699, 705, 660
The greatest common divisor of numbers 699, 705, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 705, 660 is 3.
FAQs on GCD of 699, 705, 660 Calculator
1. What is the GCD of 699, 705, 660?
GCD of given numbers 699, 705, 660 is 3
2. How to calculate the greatest common divisor of 699, 705, 660?
We can find the highest common divisor of 699, 705, 660 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, 705, 660 i.e 3.
3. How can I use the GCD of 699, 705, 660Calculator?
Out the numbers 699, 705, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.