Online GCD Calculator is useful to find the GCD of 123, 902, 690, 596 quickly. Get the easiest ways to solve the greatest common divisor of 123, 902, 690, 596 i.e 1 in different methods as follows.
Given Input numbers are 123, 902, 690, 596
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
GCD of numbers is the greatest common divisor
So, the GCD (123, 902, 690, 596) = 1.
Given numbers are 123, 902, 690, 596
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 902 are 2 x 11 x 41
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 596 are 2 x 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 902, 690, 596
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 902) = 2706
GCD(123, 902) = ( 123 x 902 ) / 2706
= 123 / 902
= 123
Step2:
LCM(41, 690) = 28290
GCD(41, 690) = ( 41 x 690 ) / 28290
= 41 / 690
= 41
Step3:
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
= 1 / 596
= 1
So, Greatest Common Divisor of 123, 902, 690, 596 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 902, 690, 596
The greatest common divisor of numbers 123, 902, 690, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 902, 690, 596 is 1.
1. What is the GCD of 123, 902, 690, 596?
GCD of given numbers 123, 902, 690, 596 is 1
2. How to calculate the greatest common divisor of 123, 902, 690, 596?
We can find the highest common divisor of 123, 902, 690, 596 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 123, 902, 690, 596 i.e 1.
3. How can I use the GCD of 123, 902, 690, 596Calculator?
Out the numbers 123, 902, 690, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.