Online GCD Calculator is useful to find the GCD of 207, 144, 699, 705 quickly. Get the easiest ways to solve the greatest common divisor of 207, 144, 699, 705 i.e 3 in different methods as follows.
Given Input numbers are 207, 144, 699, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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
GCD of numbers is the greatest common divisor
So, the GCD (207, 144, 699, 705) = 3.
Given numbers are 207, 144, 699, 705
The list of prime factors of all numbers are
Prime factors of 207 are 3 x 3 x 23
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 699 are 3 x 233
Prime factors of 705 are 3 x 5 x 47
The highest common occurrence is 31
Therefore, GCD of 207, 144, 699, 705 is 3.
Given numbers are 207, 144, 699, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(207, 144) = 3312
GCD(207, 144) = ( 207 x 144 ) / 3312
= 207 / 144
= 207
Step2:
LCM(9, 699) = 2097
GCD(9, 699) = ( 9 x 699 ) / 2097
= 9 / 699
= 9
Step3:
LCM(3, 705) = 705
GCD(3, 705) = ( 3 x 705 ) / 705
= 3 / 705
= 3
So, Greatest Common Divisor of 207, 144, 699, 705 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 207, 144, 699, 705
The greatest common divisor of numbers 207, 144, 699, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 144, 699, 705 is 3.
1. What is the GCD of 207, 144, 699, 705?
GCD of given numbers 207, 144, 699, 705 is 3
2. How to calculate the greatest common divisor of 207, 144, 699, 705?
We can find the highest common divisor of 207, 144, 699, 705 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 207, 144, 699, 705 i.e 3.
3. How can I use the GCD of 207, 144, 699, 705Calculator?
Out the numbers 207, 144, 699, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.