Online GCD Calculator is useful to find the GCD of 168, 754, 684 quickly. Get the easiest ways to solve the greatest common divisor of 168, 754, 684 i.e 2 in different methods as follows.
Given Input numbers are 168, 754, 684
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 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (168, 754, 684) = 2.
Given numbers are 168, 754, 684
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 754 are 2 x 13 x 29
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 168, 754, 684 is 2.
Given numbers are 168, 754, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 754) = 63336
GCD(168, 754) = ( 168 x 754 ) / 63336
= 168 / 754
= 168
Step2:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
So, Greatest Common Divisor of 168, 754, 684 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 754, 684
The greatest common divisor of numbers 168, 754, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 754, 684 is 2.
1. What is the GCD of 168, 754, 684?
GCD of given numbers 168, 754, 684 is 2
2. How to calculate the greatest common divisor of 168, 754, 684?
We can find the highest common divisor of 168, 754, 684 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, 754, 684 i.e 2.
3. How can I use the GCD of 168, 754, 684Calculator?
Out the numbers 168, 754, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.