Online GCD Calculator is useful to find the GCD of 307, 470, 624, 312 quickly. Get the easiest ways to solve the greatest common divisor of 307, 470, 624, 312 i.e 1 in different methods as follows.
Given Input numbers are 307, 470, 624, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (307, 470, 624, 312) = 1.
Given numbers are 307, 470, 624, 312
The list of prime factors of all numbers are
Prime factors of 307 are 307
Prime factors of 470 are 2 x 5 x 47
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 307, 470, 624, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(307, 470) = 144290
GCD(307, 470) = ( 307 x 470 ) / 144290
= 307 / 470
= 307
Step2:
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
= 1 / 624
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 307, 470, 624, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 307, 470, 624, 312
The greatest common divisor of numbers 307, 470, 624, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 307, 470, 624, 312 is 1.
1. What is the GCD of 307, 470, 624, 312?
GCD of given numbers 307, 470, 624, 312 is 1
2. How to calculate the greatest common divisor of 307, 470, 624, 312?
We can find the highest common divisor of 307, 470, 624, 312 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 307, 470, 624, 312 i.e 1.
3. How can I use the GCD of 307, 470, 624, 312Calculator?
Out the numbers 307, 470, 624, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.