Online GCD Calculator is useful to find the GCD of 495, 153, 210, 705 quickly. Get the easiest ways to solve the greatest common divisor of 495, 153, 210, 705 i.e 3 in different methods as follows.
Given Input numbers are 495, 153, 210, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 (495, 153, 210, 705) = 3.
Given numbers are 495, 153, 210, 705
The list of prime factors of all numbers are
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 153 are 3 x 3 x 17
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 705 are 3 x 5 x 47
The highest common occurrence is 31
Therefore, GCD of 495, 153, 210, 705 is 3.
Given numbers are 495, 153, 210, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(495, 153) = 8415
GCD(495, 153) = ( 495 x 153 ) / 8415
= 495 / 153
= 495
Step2:
LCM(9, 210) = 630
GCD(9, 210) = ( 9 x 210 ) / 630
= 9 / 210
= 9
Step3:
LCM(3, 705) = 705
GCD(3, 705) = ( 3 x 705 ) / 705
= 3 / 705
= 3
So, Greatest Common Divisor of 495, 153, 210, 705 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 495, 153, 210, 705
The greatest common divisor of numbers 495, 153, 210, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 153, 210, 705 is 3.
1. What is the GCD of 495, 153, 210, 705?
GCD of given numbers 495, 153, 210, 705 is 3
2. How to calculate the greatest common divisor of 495, 153, 210, 705?
We can find the highest common divisor of 495, 153, 210, 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 495, 153, 210, 705 i.e 3.
3. How can I use the GCD of 495, 153, 210, 705Calculator?
Out the numbers 495, 153, 210, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.