Online GCD Calculator is useful to find the GCD of 312, 334, 378, 721 quickly. Get the easiest ways to solve the greatest common divisor of 312, 334, 378, 721 i.e 1 in different methods as follows.
Given Input numbers are 312, 334, 378, 721
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (312, 334, 378, 721) = 1.
Given numbers are 312, 334, 378, 721
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 334 are 2 x 167
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 334, 378, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 334) = 52104
GCD(312, 334) = ( 312 x 334 ) / 52104
= 312 / 334
= 312
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
Step3:
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
= 2 / 721
= 2
So, Greatest Common Divisor of 312, 334, 378, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 334, 378, 721
The greatest common divisor of numbers 312, 334, 378, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 334, 378, 721 is 1.
1. What is the GCD of 312, 334, 378, 721?
GCD of given numbers 312, 334, 378, 721 is 1
2. How to calculate the greatest common divisor of 312, 334, 378, 721?
We can find the highest common divisor of 312, 334, 378, 721 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 312, 334, 378, 721 i.e 1.
3. How can I use the GCD of 312, 334, 378, 721Calculator?
Out the numbers 312, 334, 378, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.