Online GCD Calculator is useful to find the GCD of 378, 756, 242, 437 quickly. Get the easiest ways to solve the greatest common divisor of 378, 756, 242, 437 i.e 1 in different methods as follows.
Given Input numbers are 378, 756, 242, 437
In the factoring method, we have to find the divisors of all numbers
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 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 437 :
The positive integer divisors of 437 that completely divides 437 are.
1, 19, 23, 437
GCD of numbers is the greatest common divisor
So, the GCD (378, 756, 242, 437) = 1.
Given numbers are 378, 756, 242, 437
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 242 are 2 x 11 x 11
Prime factors of 437 are 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 756, 242, 437
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 756) = 756
GCD(378, 756) = ( 378 x 756 ) / 756
= 378 / 756
= 378
Step2:
LCM(378, 242) = 45738
GCD(378, 242) = ( 378 x 242 ) / 45738
= 378 / 242
= 378
Step3:
LCM(2, 437) = 874
GCD(2, 437) = ( 2 x 437 ) / 874
= 2 / 437
= 2
So, Greatest Common Divisor of 378, 756, 242, 437 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 756, 242, 437
The greatest common divisor of numbers 378, 756, 242, 437 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 756, 242, 437 is 1.
1. What is the GCD of 378, 756, 242, 437?
GCD of given numbers 378, 756, 242, 437 is 1
2. How to calculate the greatest common divisor of 378, 756, 242, 437?
We can find the highest common divisor of 378, 756, 242, 437 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 378, 756, 242, 437 i.e 1.
3. How can I use the GCD of 378, 756, 242, 437Calculator?
Out the numbers 378, 756, 242, 437 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.