Online GCD Calculator is useful to find the GCD of 834, 354, 615, 168 quickly. Get the easiest ways to solve the greatest common divisor of 834, 354, 615, 168 i.e 3 in different methods as follows.
Given Input numbers are 834, 354, 615, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
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
GCD of numbers is the greatest common divisor
So, the GCD (834, 354, 615, 168) = 3.
Given numbers are 834, 354, 615, 168
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 354 are 2 x 3 x 59
Prime factors of 615 are 3 x 5 x 41
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 834, 354, 615, 168 is 3.
Given numbers are 834, 354, 615, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 354) = 49206
GCD(834, 354) = ( 834 x 354 ) / 49206
= 834 / 354
= 834
Step2:
LCM(6, 615) = 1230
GCD(6, 615) = ( 6 x 615 ) / 1230
= 6 / 615
= 6
Step3:
LCM(3, 168) = 168
GCD(3, 168) = ( 3 x 168 ) / 168
= 3 / 168
= 3
So, Greatest Common Divisor of 834, 354, 615, 168 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 354, 615, 168
The greatest common divisor of numbers 834, 354, 615, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 354, 615, 168 is 3.
1. What is the GCD of 834, 354, 615, 168?
GCD of given numbers 834, 354, 615, 168 is 3
2. How to calculate the greatest common divisor of 834, 354, 615, 168?
We can find the highest common divisor of 834, 354, 615, 168 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 834, 354, 615, 168 i.e 3.
3. How can I use the GCD of 834, 354, 615, 168Calculator?
Out the numbers 834, 354, 615, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.