Online GCD Calculator is useful to find the GCD of 732, 123, 684, 784 quickly. Get the easiest ways to solve the greatest common divisor of 732, 123, 684, 784 i.e 1 in different methods as follows.
Given Input numbers are 732, 123, 684, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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
GCD of numbers is the greatest common divisor
So, the GCD (732, 123, 684, 784) = 1.
Given numbers are 732, 123, 684, 784
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 123 are 3 x 41
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 732, 123, 684, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 123) = 30012
GCD(732, 123) = ( 732 x 123 ) / 30012
= 732 / 123
= 732
Step2:
LCM(3, 684) = 684
GCD(3, 684) = ( 3 x 684 ) / 684
= 3 / 684
= 3
Step3:
LCM(3, 784) = 2352
GCD(3, 784) = ( 3 x 784 ) / 2352
= 3 / 784
= 3
So, Greatest Common Divisor of 732, 123, 684, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 123, 684, 784
The greatest common divisor of numbers 732, 123, 684, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 123, 684, 784 is 1.
1. What is the GCD of 732, 123, 684, 784?
GCD of given numbers 732, 123, 684, 784 is 1
2. How to calculate the greatest common divisor of 732, 123, 684, 784?
We can find the highest common divisor of 732, 123, 684, 784 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 732, 123, 684, 784 i.e 1.
3. How can I use the GCD of 732, 123, 684, 784Calculator?
Out the numbers 732, 123, 684, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.