Online GCD Calculator is useful to find the GCD of 162, 957, 354, 156 quickly. Get the easiest ways to solve the greatest common divisor of 162, 957, 354, 156 i.e 3 in different methods as follows.
Given Input numbers are 162, 957, 354, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
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 (162, 957, 354, 156) = 3.
Given numbers are 162, 957, 354, 156
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 957 are 3 x 11 x 29
Prime factors of 354 are 2 x 3 x 59
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 162, 957, 354, 156 is 3.
Given numbers are 162, 957, 354, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 957) = 51678
GCD(162, 957) = ( 162 x 957 ) / 51678
= 162 / 957
= 162
Step2:
LCM(3, 354) = 354
GCD(3, 354) = ( 3 x 354 ) / 354
= 3 / 354
= 3
Step3:
LCM(3, 156) = 156
GCD(3, 156) = ( 3 x 156 ) / 156
= 3 / 156
= 3
So, Greatest Common Divisor of 162, 957, 354, 156 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 957, 354, 156
The greatest common divisor of numbers 162, 957, 354, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 957, 354, 156 is 3.
1. What is the GCD of 162, 957, 354, 156?
GCD of given numbers 162, 957, 354, 156 is 3
2. How to calculate the greatest common divisor of 162, 957, 354, 156?
We can find the highest common divisor of 162, 957, 354, 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 162, 957, 354, 156 i.e 3.
3. How can I use the GCD of 162, 957, 354, 156Calculator?
Out the numbers 162, 957, 354, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.