Online GCD Calculator is useful to find the GCD of 138, 616, 181, 784 quickly. Get the easiest ways to solve the greatest common divisor of 138, 616, 181, 784 i.e 1 in different methods as follows.
Given Input numbers are 138, 616, 181, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 181 :
The positive integer divisors of 181 that completely divides 181 are.
1, 181
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
GCD of numbers is the greatest common divisor
So, the GCD (138, 616, 181, 784) = 1.
Given numbers are 138, 616, 181, 784
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 181 are 181
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 616, 181, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 616) = 42504
GCD(138, 616) = ( 138 x 616 ) / 42504
= 138 / 616
= 138
Step2:
LCM(2, 181) = 362
GCD(2, 181) = ( 2 x 181 ) / 362
= 2 / 181
= 2
Step3:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 138, 616, 181, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 616, 181, 784
The greatest common divisor of numbers 138, 616, 181, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 616, 181, 784 is 1.
1. What is the GCD of 138, 616, 181, 784?
GCD of given numbers 138, 616, 181, 784 is 1
2. How to calculate the greatest common divisor of 138, 616, 181, 784?
We can find the highest common divisor of 138, 616, 181, 784 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 138, 616, 181, 784 i.e 1.
3. How can I use the GCD of 138, 616, 181, 784Calculator?
Out the numbers 138, 616, 181, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.