Online GCD Calculator is useful to find the GCD of 315, 723, 668, 740 quickly. Get the easiest ways to solve the greatest common divisor of 315, 723, 668, 740 i.e 1 in different methods as follows.
Given Input numbers are 315, 723, 668, 740
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (315, 723, 668, 740) = 1.
Given numbers are 315, 723, 668, 740
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 723 are 3 x 241
Prime factors of 668 are 2 x 2 x 167
Prime factors of 740 are 2 x 2 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 723, 668, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 723) = 75915
GCD(315, 723) = ( 315 x 723 ) / 75915
= 315 / 723
= 315
Step2:
LCM(3, 668) = 2004
GCD(3, 668) = ( 3 x 668 ) / 2004
= 3 / 668
= 3
Step3:
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
= 1 / 740
= 1
So, Greatest Common Divisor of 315, 723, 668, 740 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 723, 668, 740
The greatest common divisor of numbers 315, 723, 668, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 723, 668, 740 is 1.
1. What is the GCD of 315, 723, 668, 740?
GCD of given numbers 315, 723, 668, 740 is 1
2. How to calculate the greatest common divisor of 315, 723, 668, 740?
We can find the highest common divisor of 315, 723, 668, 740 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 315, 723, 668, 740 i.e 1.
3. How can I use the GCD of 315, 723, 668, 740Calculator?
Out the numbers 315, 723, 668, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.