Online GCD Calculator is useful to find the GCD of 123, 948, 470, 307 quickly. Get the easiest ways to solve the greatest common divisor of 123, 948, 470, 307 i.e 1 in different methods as follows.
Given Input numbers are 123, 948, 470, 307
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 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
GCD of numbers is the greatest common divisor
So, the GCD (123, 948, 470, 307) = 1.
Given numbers are 123, 948, 470, 307
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 470 are 2 x 5 x 47
Prime factors of 307 are 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 948, 470, 307
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 948) = 38868
GCD(123, 948) = ( 123 x 948 ) / 38868
= 123 / 948
= 123
Step2:
LCM(3, 470) = 1410
GCD(3, 470) = ( 3 x 470 ) / 1410
= 3 / 470
= 3
Step3:
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
= 1 / 307
= 1
So, Greatest Common Divisor of 123, 948, 470, 307 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 948, 470, 307
The greatest common divisor of numbers 123, 948, 470, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 948, 470, 307 is 1.
1. What is the GCD of 123, 948, 470, 307?
GCD of given numbers 123, 948, 470, 307 is 1
2. How to calculate the greatest common divisor of 123, 948, 470, 307?
We can find the highest common divisor of 123, 948, 470, 307 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, 948, 470, 307 i.e 1.
3. How can I use the GCD of 123, 948, 470, 307Calculator?
Out the numbers 123, 948, 470, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.