Online GCD Calculator is useful to find the GCD of 108, 306, 402, 177 quickly. Get the easiest ways to solve the greatest common divisor of 108, 306, 402, 177 i.e 3 in different methods as follows.
Given Input numbers are 108, 306, 402, 177
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (108, 306, 402, 177) = 3.
Given numbers are 108, 306, 402, 177
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 402 are 2 x 3 x 67
Prime factors of 177 are 3 x 59
The highest common occurrence is 31
Therefore, GCD of 108, 306, 402, 177 is 3.
Given numbers are 108, 306, 402, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 306) = 1836
GCD(108, 306) = ( 108 x 306 ) / 1836
= 108 / 306
= 108
Step2:
LCM(18, 402) = 1206
GCD(18, 402) = ( 18 x 402 ) / 1206
= 18 / 402
= 18
Step3:
LCM(6, 177) = 354
GCD(6, 177) = ( 6 x 177 ) / 354
= 6 / 177
= 6
So, Greatest Common Divisor of 108, 306, 402, 177 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 306, 402, 177
The greatest common divisor of numbers 108, 306, 402, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 306, 402, 177 is 3.
1. What is the GCD of 108, 306, 402, 177?
GCD of given numbers 108, 306, 402, 177 is 3
2. How to calculate the greatest common divisor of 108, 306, 402, 177?
We can find the highest common divisor of 108, 306, 402, 177 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 108, 306, 402, 177 i.e 3.
3. How can I use the GCD of 108, 306, 402, 177Calculator?
Out the numbers 108, 306, 402, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.