Online GCD Calculator is useful to find the GCD of 162, 423, 186, 702 quickly. Get the easiest ways to solve the greatest common divisor of 162, 423, 186, 702 i.e 3 in different methods as follows.
Given Input numbers are 162, 423, 186, 702
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (162, 423, 186, 702) = 3.
Given numbers are 162, 423, 186, 702
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 423 are 3 x 3 x 47
Prime factors of 186 are 2 x 3 x 31
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 162, 423, 186, 702 is 3.
Given numbers are 162, 423, 186, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 423) = 7614
GCD(162, 423) = ( 162 x 423 ) / 7614
= 162 / 423
= 162
Step2:
LCM(9, 186) = 558
GCD(9, 186) = ( 9 x 186 ) / 558
= 9 / 186
= 9
Step3:
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
= 3 / 702
= 3
So, Greatest Common Divisor of 162, 423, 186, 702 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 423, 186, 702
The greatest common divisor of numbers 162, 423, 186, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 423, 186, 702 is 3.
1. What is the GCD of 162, 423, 186, 702?
GCD of given numbers 162, 423, 186, 702 is 3
2. How to calculate the greatest common divisor of 162, 423, 186, 702?
We can find the highest common divisor of 162, 423, 186, 702 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, 423, 186, 702 i.e 3.
3. How can I use the GCD of 162, 423, 186, 702Calculator?
Out the numbers 162, 423, 186, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.