Online GCD Calculator is useful to find the GCD of 168, 184, 642, 702 quickly. Get the easiest ways to solve the greatest common divisor of 168, 184, 642, 702 i.e 2 in different methods as follows.
Given Input numbers are 168, 184, 642, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
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 (168, 184, 642, 702) = 2.
Given numbers are 168, 184, 642, 702
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 642 are 2 x 3 x 107
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 168, 184, 642, 702 is 2.
Given numbers are 168, 184, 642, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 184) = 3864
GCD(168, 184) = ( 168 x 184 ) / 3864
= 168 / 184
= 168
Step2:
LCM(8, 642) = 2568
GCD(8, 642) = ( 8 x 642 ) / 2568
= 8 / 642
= 8
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 168, 184, 642, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 184, 642, 702
The greatest common divisor of numbers 168, 184, 642, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 184, 642, 702 is 2.
1. What is the GCD of 168, 184, 642, 702?
GCD of given numbers 168, 184, 642, 702 is 2
2. How to calculate the greatest common divisor of 168, 184, 642, 702?
We can find the highest common divisor of 168, 184, 642, 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 168, 184, 642, 702 i.e 2.
3. How can I use the GCD of 168, 184, 642, 702Calculator?
Out the numbers 168, 184, 642, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.