Online GCD Calculator is useful to find the GCD of 660, 297, 916, 704 quickly. Get the easiest ways to solve the greatest common divisor of 660, 297, 916, 704 i.e 1 in different methods as follows.
Given Input numbers are 660, 297, 916, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
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
GCD of numbers is the greatest common divisor
So, the GCD (660, 297, 916, 704) = 1.
Given numbers are 660, 297, 916, 704
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 916 are 2 x 2 x 229
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 660, 297, 916, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 297) = 5940
GCD(660, 297) = ( 660 x 297 ) / 5940
= 660 / 297
= 660
Step2:
LCM(33, 916) = 30228
GCD(33, 916) = ( 33 x 916 ) / 30228
= 33 / 916
= 33
Step3:
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
= 1 / 704
= 1
So, Greatest Common Divisor of 660, 297, 916, 704 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 297, 916, 704
The greatest common divisor of numbers 660, 297, 916, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 297, 916, 704 is 1.
1. What is the GCD of 660, 297, 916, 704?
GCD of given numbers 660, 297, 916, 704 is 1
2. How to calculate the greatest common divisor of 660, 297, 916, 704?
We can find the highest common divisor of 660, 297, 916, 704 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 660, 297, 916, 704 i.e 1.
3. How can I use the GCD of 660, 297, 916, 704Calculator?
Out the numbers 660, 297, 916, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.