Online GCD Calculator is useful to find the GCD of 336, 506, 138, 177 quickly. Get the easiest ways to solve the greatest common divisor of 336, 506, 138, 177 i.e 1 in different methods as follows.
Given Input numbers are 336, 506, 138, 177
In the factoring method, we have to find the divisors of all numbers
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
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 (336, 506, 138, 177) = 1.
Given numbers are 336, 506, 138, 177
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 506 are 2 x 11 x 23
Prime factors of 138 are 2 x 3 x 23
Prime factors of 177 are 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 336, 506, 138, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 506) = 85008
GCD(336, 506) = ( 336 x 506 ) / 85008
= 336 / 506
= 336
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 177) = 354
GCD(2, 177) = ( 2 x 177 ) / 354
= 2 / 177
= 2
So, Greatest Common Divisor of 336, 506, 138, 177 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 506, 138, 177
The greatest common divisor of numbers 336, 506, 138, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 506, 138, 177 is 1.
1. What is the GCD of 336, 506, 138, 177?
GCD of given numbers 336, 506, 138, 177 is 1
2. How to calculate the greatest common divisor of 336, 506, 138, 177?
We can find the highest common divisor of 336, 506, 138, 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 336, 506, 138, 177 i.e 1.
3. How can I use the GCD of 336, 506, 138, 177Calculator?
Out the numbers 336, 506, 138, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.