Online GCD Calculator is useful to find the GCD of 297, 704, 400, 576 quickly. Get the easiest ways to solve the greatest common divisor of 297, 704, 400, 576 i.e 1 in different methods as follows.
Given Input numbers are 297, 704, 400, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 (297, 704, 400, 576) = 1.
Given numbers are 297, 704, 400, 576
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 297, 704, 400, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 704) = 19008
GCD(297, 704) = ( 297 x 704 ) / 19008
= 297 / 704
= 297
Step2:
LCM(11, 400) = 4400
GCD(11, 400) = ( 11 x 400 ) / 4400
= 11 / 400
= 11
Step3:
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
= 1 / 576
= 1
So, Greatest Common Divisor of 297, 704, 400, 576 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 704, 400, 576
The greatest common divisor of numbers 297, 704, 400, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 704, 400, 576 is 1.
1. What is the GCD of 297, 704, 400, 576?
GCD of given numbers 297, 704, 400, 576 is 1
2. How to calculate the greatest common divisor of 297, 704, 400, 576?
We can find the highest common divisor of 297, 704, 400, 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 297, 704, 400, 576 i.e 1.
3. How can I use the GCD of 297, 704, 400, 576Calculator?
Out the numbers 297, 704, 400, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.