Online GCD Calculator is useful to find the GCD of 712, 404, 368, 576 quickly. Get the easiest ways to solve the greatest common divisor of 712, 404, 368, 576 i.e 4 in different methods as follows.
Given Input numbers are 712, 404, 368, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (712, 404, 368, 576) = 4.
Given numbers are 712, 404, 368, 576
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 404 are 2 x 2 x 101
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 712, 404, 368, 576 is 4.
Given numbers are 712, 404, 368, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 404) = 71912
GCD(712, 404) = ( 712 x 404 ) / 71912
= 712 / 404
= 712
Step2:
LCM(4, 368) = 368
GCD(4, 368) = ( 4 x 368 ) / 368
= 4 / 368
= 4
Step3:
LCM(4, 576) = 576
GCD(4, 576) = ( 4 x 576 ) / 576
= 4 / 576
= 4
So, Greatest Common Divisor of 712, 404, 368, 576 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 404, 368, 576
The greatest common divisor of numbers 712, 404, 368, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 404, 368, 576 is 4.
1. What is the GCD of 712, 404, 368, 576?
GCD of given numbers 712, 404, 368, 576 is 4
2. How to calculate the greatest common divisor of 712, 404, 368, 576?
We can find the highest common divisor of 712, 404, 368, 576 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 712, 404, 368, 576 i.e 4.
3. How can I use the GCD of 712, 404, 368, 576Calculator?
Out the numbers 712, 404, 368, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.