Online GCD Calculator is useful to find the GCD of 168, 297, 102, 843 quickly. Get the easiest ways to solve the greatest common divisor of 168, 297, 102, 843 i.e 3 in different methods as follows.
Given Input numbers are 168, 297, 102, 843
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 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
GCD of numbers is the greatest common divisor
So, the GCD (168, 297, 102, 843) = 3.
Given numbers are 168, 297, 102, 843
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 297 are 3 x 3 x 3 x 11
Prime factors of 102 are 2 x 3 x 17
Prime factors of 843 are 3 x 281
The highest common occurrence is 31
Therefore, GCD of 168, 297, 102, 843 is 3.
Given numbers are 168, 297, 102, 843
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 297) = 16632
GCD(168, 297) = ( 168 x 297 ) / 16632
= 168 / 297
= 168
Step2:
LCM(3, 102) = 102
GCD(3, 102) = ( 3 x 102 ) / 102
= 3 / 102
= 3
Step3:
LCM(3, 843) = 843
GCD(3, 843) = ( 3 x 843 ) / 843
= 3 / 843
= 3
So, Greatest Common Divisor of 168, 297, 102, 843 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 297, 102, 843
The greatest common divisor of numbers 168, 297, 102, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 297, 102, 843 is 3.
1. What is the GCD of 168, 297, 102, 843?
GCD of given numbers 168, 297, 102, 843 is 3
2. How to calculate the greatest common divisor of 168, 297, 102, 843?
We can find the highest common divisor of 168, 297, 102, 843 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, 297, 102, 843 i.e 3.
3. How can I use the GCD of 168, 297, 102, 843Calculator?
Out the numbers 168, 297, 102, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.