Online GCD Calculator is useful to find the GCD of 144, 526, 982, 156 quickly. Get the easiest ways to solve the greatest common divisor of 144, 526, 982, 156 i.e 2 in different methods as follows.
Given Input numbers are 144, 526, 982, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 526 :
The positive integer divisors of 526 that completely divides 526 are.
1, 2, 263, 526
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
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
GCD of numbers is the greatest common divisor
So, the GCD (144, 526, 982, 156) = 2.
Given numbers are 144, 526, 982, 156
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 526 are 2 x 263
Prime factors of 982 are 2 x 491
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 144, 526, 982, 156 is 2.
Given numbers are 144, 526, 982, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 526) = 37872
GCD(144, 526) = ( 144 x 526 ) / 37872
= 144 / 526
= 144
Step2:
LCM(2, 982) = 982
GCD(2, 982) = ( 2 x 982 ) / 982
= 2 / 982
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 144, 526, 982, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 526, 982, 156
The greatest common divisor of numbers 144, 526, 982, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 526, 982, 156 is 2.
1. What is the GCD of 144, 526, 982, 156?
GCD of given numbers 144, 526, 982, 156 is 2
2. How to calculate the greatest common divisor of 144, 526, 982, 156?
We can find the highest common divisor of 144, 526, 982, 156 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 144, 526, 982, 156 i.e 2.
3. How can I use the GCD of 144, 526, 982, 156Calculator?
Out the numbers 144, 526, 982, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.