Online GCD Calculator is useful to find the GCD of 784, 376, 15, 947 quickly. Get the easiest ways to solve the greatest common divisor of 784, 376, 15, 947 i.e 1 in different methods as follows.
Given Input numbers are 784, 376, 15, 947
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 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 15 :
The positive integer divisors of 15 that completely divides 15 are.
1, 3, 5, 15
Divisors of 947 :
The positive integer divisors of 947 that completely divides 947 are.
1, 947
GCD of numbers is the greatest common divisor
So, the GCD (784, 376, 15, 947) = 1.
Given numbers are 784, 376, 15, 947
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 376 are 2 x 2 x 2 x 47
Prime factors of 15 are 3 x 5
Prime factors of 947 are 947
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 376, 15, 947
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 376) = 36848
GCD(784, 376) = ( 784 x 376 ) / 36848
= 784 / 376
= 784
Step2:
LCM(8, 15) = 120
GCD(8, 15) = ( 8 x 15 ) / 120
= 8 / 15
= 8
Step3:
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
= 1 / 947
= 1
So, Greatest Common Divisor of 784, 376, 15, 947 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 376, 15, 947
The greatest common divisor of numbers 784, 376, 15, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 376, 15, 947 is 1.
1. What is the GCD of 784, 376, 15, 947?
GCD of given numbers 784, 376, 15, 947 is 1
2. How to calculate the greatest common divisor of 784, 376, 15, 947?
We can find the highest common divisor of 784, 376, 15, 947 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, 376, 15, 947 i.e 1.
3. How can I use the GCD of 784, 376, 15, 947Calculator?
Out the numbers 784, 376, 15, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.