Online GCD Calculator is useful to find the GCD of 784, 392, 156, 135 quickly. Get the easiest ways to solve the greatest common divisor of 784, 392, 156, 135 i.e 1 in different methods as follows.
Given Input numbers are 784, 392, 156, 135
In the factoring method, we have to find the divisors of all numbers
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 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
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
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (784, 392, 156, 135) = 1.
Given numbers are 784, 392, 156, 135
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 392, 156, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 392) = 784
GCD(784, 392) = ( 784 x 392 ) / 784
= 784 / 392
= 784
Step2:
LCM(392, 156) = 15288
GCD(392, 156) = ( 392 x 156 ) / 15288
= 392 / 156
= 392
Step3:
LCM(4, 135) = 540
GCD(4, 135) = ( 4 x 135 ) / 540
= 4 / 135
= 4
So, Greatest Common Divisor of 784, 392, 156, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 392, 156, 135
The greatest common divisor of numbers 784, 392, 156, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 392, 156, 135 is 1.
1. What is the GCD of 784, 392, 156, 135?
GCD of given numbers 784, 392, 156, 135 is 1
2. How to calculate the greatest common divisor of 784, 392, 156, 135?
We can find the highest common divisor of 784, 392, 156, 135 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 784, 392, 156, 135 i.e 1.
3. How can I use the GCD of 784, 392, 156, 135Calculator?
Out the numbers 784, 392, 156, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.