Online GCD Calculator is useful to find the GCD of 162, 102, 708, 765 quickly. Get the easiest ways to solve the greatest common divisor of 162, 102, 708, 765 i.e 3 in different methods as follows.
Given Input numbers are 162, 102, 708, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (162, 102, 708, 765) = 3.
Given numbers are 162, 102, 708, 765
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 102 are 2 x 3 x 17
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 162, 102, 708, 765 is 3.
Given numbers are 162, 102, 708, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 102) = 2754
GCD(162, 102) = ( 162 x 102 ) / 2754
= 162 / 102
= 162
Step2:
LCM(6, 708) = 708
GCD(6, 708) = ( 6 x 708 ) / 708
= 6 / 708
= 6
Step3:
LCM(6, 765) = 1530
GCD(6, 765) = ( 6 x 765 ) / 1530
= 6 / 765
= 6
So, Greatest Common Divisor of 162, 102, 708, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 102, 708, 765
The greatest common divisor of numbers 162, 102, 708, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 102, 708, 765 is 3.
1. What is the GCD of 162, 102, 708, 765?
GCD of given numbers 162, 102, 708, 765 is 3
2. How to calculate the greatest common divisor of 162, 102, 708, 765?
We can find the highest common divisor of 162, 102, 708, 765 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 162, 102, 708, 765 i.e 3.
3. How can I use the GCD of 162, 102, 708, 765Calculator?
Out the numbers 162, 102, 708, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.