Online GCD Calculator is useful to find the GCD of 730, 289, 242, 125 quickly. Get the easiest ways to solve the greatest common divisor of 730, 289, 242, 125 i.e 1 in different methods as follows.
Given Input numbers are 730, 289, 242, 125
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
GCD of numbers is the greatest common divisor
So, the GCD (730, 289, 242, 125) = 1.
Given numbers are 730, 289, 242, 125
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 289 are 17 x 17
Prime factors of 242 are 2 x 11 x 11
Prime factors of 125 are 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 730, 289, 242, 125
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 289) = 210970
GCD(730, 289) = ( 730 x 289 ) / 210970
= 730 / 289
= 730
Step2:
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
= 1 / 242
= 1
Step3:
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
= 1 / 125
= 1
So, Greatest Common Divisor of 730, 289, 242, 125 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 289, 242, 125
The greatest common divisor of numbers 730, 289, 242, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 289, 242, 125 is 1.
1. What is the GCD of 730, 289, 242, 125?
GCD of given numbers 730, 289, 242, 125 is 1
2. How to calculate the greatest common divisor of 730, 289, 242, 125?
We can find the highest common divisor of 730, 289, 242, 125 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, 289, 242, 125 i.e 1.
3. How can I use the GCD of 730, 289, 242, 125Calculator?
Out the numbers 730, 289, 242, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.