Online GCD Calculator is useful to find the GCD of 315, 242, 559, 378 quickly. Get the easiest ways to solve the greatest common divisor of 315, 242, 559, 378 i.e 1 in different methods as follows.
Given Input numbers are 315, 242, 559, 378
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 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
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
GCD of numbers is the greatest common divisor
So, the GCD (315, 242, 559, 378) = 1.
Given numbers are 315, 242, 559, 378
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 242 are 2 x 11 x 11
Prime factors of 559 are 13 x 43
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 242, 559, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 242) = 76230
GCD(315, 242) = ( 315 x 242 ) / 76230
= 315 / 242
= 315
Step2:
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
= 1 / 559
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 315, 242, 559, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 242, 559, 378
The greatest common divisor of numbers 315, 242, 559, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 242, 559, 378 is 1.
1. What is the GCD of 315, 242, 559, 378?
GCD of given numbers 315, 242, 559, 378 is 1
2. How to calculate the greatest common divisor of 315, 242, 559, 378?
We can find the highest common divisor of 315, 242, 559, 378 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, 242, 559, 378 i.e 1.
3. How can I use the GCD of 315, 242, 559, 378Calculator?
Out the numbers 315, 242, 559, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.