Online GCD Calculator is useful to find the GCD of 706, 136, 509, 156 quickly. Get the easiest ways to solve the greatest common divisor of 706, 136, 509, 156 i.e 1 in different methods as follows.
Given Input numbers are 706, 136, 509, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
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
GCD of numbers is the greatest common divisor
So, the GCD (706, 136, 509, 156) = 1.
Given numbers are 706, 136, 509, 156
The list of prime factors of all numbers are
Prime factors of 706 are 2 x 353
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 509 are 509
Prime factors of 156 are 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 706, 136, 509, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(706, 136) = 48008
GCD(706, 136) = ( 706 x 136 ) / 48008
= 706 / 136
= 706
Step2:
LCM(2, 509) = 1018
GCD(2, 509) = ( 2 x 509 ) / 1018
= 2 / 509
= 2
Step3:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
So, Greatest Common Divisor of 706, 136, 509, 156 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 706, 136, 509, 156
The greatest common divisor of numbers 706, 136, 509, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 136, 509, 156 is 1.
1. What is the GCD of 706, 136, 509, 156?
GCD of given numbers 706, 136, 509, 156 is 1
2. How to calculate the greatest common divisor of 706, 136, 509, 156?
We can find the highest common divisor of 706, 136, 509, 156 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 706, 136, 509, 156 i.e 1.
3. How can I use the GCD of 706, 136, 509, 156Calculator?
Out the numbers 706, 136, 509, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.