Online GCD Calculator is useful to find the GCD of 506, 954, 676, 168 quickly. Get the easiest ways to solve the greatest common divisor of 506, 954, 676, 168 i.e 2 in different methods as follows.
Given Input numbers are 506, 954, 676, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 (506, 954, 676, 168) = 2.
Given numbers are 506, 954, 676, 168
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 506, 954, 676, 168 is 2.
Given numbers are 506, 954, 676, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 954) = 241362
GCD(506, 954) = ( 506 x 954 ) / 241362
= 506 / 954
= 506
Step2:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 506, 954, 676, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 954, 676, 168
The greatest common divisor of numbers 506, 954, 676, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 954, 676, 168 is 2.
1. What is the GCD of 506, 954, 676, 168?
GCD of given numbers 506, 954, 676, 168 is 2
2. How to calculate the greatest common divisor of 506, 954, 676, 168?
We can find the highest common divisor of 506, 954, 676, 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 506, 954, 676, 168 i.e 2.
3. How can I use the GCD of 506, 954, 676, 168Calculator?
Out the numbers 506, 954, 676, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.