Online GCD Calculator is useful to find the GCD of 123, 564, 692, 310 quickly. Get the easiest ways to solve the greatest common divisor of 123, 564, 692, 310 i.e 1 in different methods as follows.
Given Input numbers are 123, 564, 692, 310
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (123, 564, 692, 310) = 1.
Given numbers are 123, 564, 692, 310
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 692 are 2 x 2 x 173
Prime factors of 310 are 2 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 564, 692, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 564) = 23124
GCD(123, 564) = ( 123 x 564 ) / 23124
= 123 / 564
= 123
Step2:
LCM(3, 692) = 2076
GCD(3, 692) = ( 3 x 692 ) / 2076
= 3 / 692
= 3
Step3:
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
= 1 / 310
= 1
So, Greatest Common Divisor of 123, 564, 692, 310 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 564, 692, 310
The greatest common divisor of numbers 123, 564, 692, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 564, 692, 310 is 1.
1. What is the GCD of 123, 564, 692, 310?
GCD of given numbers 123, 564, 692, 310 is 1
2. How to calculate the greatest common divisor of 123, 564, 692, 310?
We can find the highest common divisor of 123, 564, 692, 310 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, 564, 692, 310 i.e 1.
3. How can I use the GCD of 123, 564, 692, 310Calculator?
Out the numbers 123, 564, 692, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.