Online GCD Calculator is useful to find the GCD of 784, 372, 338, 237 quickly. Get the easiest ways to solve the greatest common divisor of 784, 372, 338, 237 i.e 1 in different methods as follows.
Given Input numbers are 784, 372, 338, 237
In the factoring method, we have to find the divisors of all numbers
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
GCD of numbers is the greatest common divisor
So, the GCD (784, 372, 338, 237) = 1.
Given numbers are 784, 372, 338, 237
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 338 are 2 x 13 x 13
Prime factors of 237 are 3 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 372, 338, 237
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 372) = 72912
GCD(784, 372) = ( 784 x 372 ) / 72912
= 784 / 372
= 784
Step2:
LCM(4, 338) = 676
GCD(4, 338) = ( 4 x 338 ) / 676
= 4 / 338
= 4
Step3:
LCM(2, 237) = 474
GCD(2, 237) = ( 2 x 237 ) / 474
= 2 / 237
= 2
So, Greatest Common Divisor of 784, 372, 338, 237 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 372, 338, 237
The greatest common divisor of numbers 784, 372, 338, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 372, 338, 237 is 1.
1. What is the GCD of 784, 372, 338, 237?
GCD of given numbers 784, 372, 338, 237 is 1
2. How to calculate the greatest common divisor of 784, 372, 338, 237?
We can find the highest common divisor of 784, 372, 338, 237 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 784, 372, 338, 237 i.e 1.
3. How can I use the GCD of 784, 372, 338, 237Calculator?
Out the numbers 784, 372, 338, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.