Online GCD Calculator is useful to find the GCD of 999, 685, 748, 156 quickly. Get the easiest ways to solve the greatest common divisor of 999, 685, 748, 156 i.e 1 in different methods as follows.
Given Input numbers are 999, 685, 748, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 (999, 685, 748, 156) = 1.
Given numbers are 999, 685, 748, 156
The list of prime factors of all numbers are
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 685 are 5 x 137
Prime factors of 748 are 2 x 2 x 11 x 17
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 999, 685, 748, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(999, 685) = 684315
GCD(999, 685) = ( 999 x 685 ) / 684315
= 999 / 685
= 999
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
Step3:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
So, Greatest Common Divisor of 999, 685, 748, 156 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 999, 685, 748, 156
The greatest common divisor of numbers 999, 685, 748, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 685, 748, 156 is 1.
1. What is the GCD of 999, 685, 748, 156?
GCD of given numbers 999, 685, 748, 156 is 1
2. How to calculate the greatest common divisor of 999, 685, 748, 156?
We can find the highest common divisor of 999, 685, 748, 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 999, 685, 748, 156 i.e 1.
3. How can I use the GCD of 999, 685, 748, 156Calculator?
Out the numbers 999, 685, 748, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.