Online GCD Calculator is useful to find the GCD of 123, 917, 120, 753 quickly. Get the easiest ways to solve the greatest common divisor of 123, 917, 120, 753 i.e 1 in different methods as follows.
Given Input numbers are 123, 917, 120, 753
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 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
GCD of numbers is the greatest common divisor
So, the GCD (123, 917, 120, 753) = 1.
Given numbers are 123, 917, 120, 753
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 917 are 7 x 131
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 753 are 3 x 251
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 917, 120, 753
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 917) = 112791
GCD(123, 917) = ( 123 x 917 ) / 112791
= 123 / 917
= 123
Step2:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
Step3:
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
= 1 / 753
= 1
So, Greatest Common Divisor of 123, 917, 120, 753 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 917, 120, 753
The greatest common divisor of numbers 123, 917, 120, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 917, 120, 753 is 1.
1. What is the GCD of 123, 917, 120, 753?
GCD of given numbers 123, 917, 120, 753 is 1
2. How to calculate the greatest common divisor of 123, 917, 120, 753?
We can find the highest common divisor of 123, 917, 120, 753 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, 917, 120, 753 i.e 1.
3. How can I use the GCD of 123, 917, 120, 753Calculator?
Out the numbers 123, 917, 120, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.