Online GCD Calculator is useful to find the GCD of 156, 402, 504, 981 quickly. Get the easiest ways to solve the greatest common divisor of 156, 402, 504, 981 i.e 3 in different methods as follows.
Given Input numbers are 156, 402, 504, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (156, 402, 504, 981) = 3.
Given numbers are 156, 402, 504, 981
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 402 are 2 x 3 x 67
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 156, 402, 504, 981 is 3.
Given numbers are 156, 402, 504, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 402) = 10452
GCD(156, 402) = ( 156 x 402 ) / 10452
= 156 / 402
= 156
Step2:
LCM(6, 504) = 504
GCD(6, 504) = ( 6 x 504 ) / 504
= 6 / 504
= 6
Step3:
LCM(6, 981) = 1962
GCD(6, 981) = ( 6 x 981 ) / 1962
= 6 / 981
= 6
So, Greatest Common Divisor of 156, 402, 504, 981 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 402, 504, 981
The greatest common divisor of numbers 156, 402, 504, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 402, 504, 981 is 3.
1. What is the GCD of 156, 402, 504, 981?
GCD of given numbers 156, 402, 504, 981 is 3
2. How to calculate the greatest common divisor of 156, 402, 504, 981?
We can find the highest common divisor of 156, 402, 504, 981 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 156, 402, 504, 981 i.e 3.
3. How can I use the GCD of 156, 402, 504, 981Calculator?
Out the numbers 156, 402, 504, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.