Online GCD Calculator is useful to find the GCD of 136, 784, 308, 369 quickly. Get the easiest ways to solve the greatest common divisor of 136, 784, 308, 369 i.e 1 in different methods as follows.
Given Input numbers are 136, 784, 308, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (136, 784, 308, 369) = 1.
Given numbers are 136, 784, 308, 369
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 136, 784, 308, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 784) = 13328
GCD(136, 784) = ( 136 x 784 ) / 13328
= 136 / 784
= 136
Step2:
LCM(8, 308) = 616
GCD(8, 308) = ( 8 x 308 ) / 616
= 8 / 308
= 8
Step3:
LCM(4, 369) = 1476
GCD(4, 369) = ( 4 x 369 ) / 1476
= 4 / 369
= 4
So, Greatest Common Divisor of 136, 784, 308, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 784, 308, 369
The greatest common divisor of numbers 136, 784, 308, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 784, 308, 369 is 1.
1. What is the GCD of 136, 784, 308, 369?
GCD of given numbers 136, 784, 308, 369 is 1
2. How to calculate the greatest common divisor of 136, 784, 308, 369?
We can find the highest common divisor of 136, 784, 308, 369 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 136, 784, 308, 369 i.e 1.
3. How can I use the GCD of 136, 784, 308, 369Calculator?
Out the numbers 136, 784, 308, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.