Online GCD Calculator is useful to find the GCD of 728, 372, 692, 920 quickly. Get the easiest ways to solve the greatest common divisor of 728, 372, 692, 920 i.e 4 in different methods as follows.
Given Input numbers are 728, 372, 692, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (728, 372, 692, 920) = 4.
Given numbers are 728, 372, 692, 920
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 692 are 2 x 2 x 173
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 22
Therefore, GCD of 728, 372, 692, 920 is 4.
Given numbers are 728, 372, 692, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 372) = 67704
GCD(728, 372) = ( 728 x 372 ) / 67704
= 728 / 372
= 728
Step2:
LCM(4, 692) = 692
GCD(4, 692) = ( 4 x 692 ) / 692
= 4 / 692
= 4
Step3:
LCM(4, 920) = 920
GCD(4, 920) = ( 4 x 920 ) / 920
= 4 / 920
= 4
So, Greatest Common Divisor of 728, 372, 692, 920 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 372, 692, 920
The greatest common divisor of numbers 728, 372, 692, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 372, 692, 920 is 4.
1. What is the GCD of 728, 372, 692, 920?
GCD of given numbers 728, 372, 692, 920 is 4
2. How to calculate the greatest common divisor of 728, 372, 692, 920?
We can find the highest common divisor of 728, 372, 692, 920 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 728, 372, 692, 920 i.e 4.
3. How can I use the GCD of 728, 372, 692, 920Calculator?
Out the numbers 728, 372, 692, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.