Online GCD Calculator is useful to find the GCD of 730, 960, 297, 131 quickly. Get the easiest ways to solve the greatest common divisor of 730, 960, 297, 131 i.e 1 in different methods as follows.
Given Input numbers are 730, 960, 297, 131
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
GCD of numbers is the greatest common divisor
So, the GCD (730, 960, 297, 131) = 1.
Given numbers are 730, 960, 297, 131
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 131 are 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 730, 960, 297, 131
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 960) = 70080
GCD(730, 960) = ( 730 x 960 ) / 70080
= 730 / 960
= 730
Step2:
LCM(10, 297) = 2970
GCD(10, 297) = ( 10 x 297 ) / 2970
= 10 / 297
= 10
Step3:
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
= 1 / 131
= 1
So, Greatest Common Divisor of 730, 960, 297, 131 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 960, 297, 131
The greatest common divisor of numbers 730, 960, 297, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 960, 297, 131 is 1.
1. What is the GCD of 730, 960, 297, 131?
GCD of given numbers 730, 960, 297, 131 is 1
2. How to calculate the greatest common divisor of 730, 960, 297, 131?
We can find the highest common divisor of 730, 960, 297, 131 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 730, 960, 297, 131 i.e 1.
3. How can I use the GCD of 730, 960, 297, 131Calculator?
Out the numbers 730, 960, 297, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.