Online GCD Calculator is useful to find the GCD of 289, 375, 424, 650 quickly. Get the easiest ways to solve the greatest common divisor of 289, 375, 424, 650 i.e 1 in different methods as follows.
Given Input numbers are 289, 375, 424, 650
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
GCD of numbers is the greatest common divisor
So, the GCD (289, 375, 424, 650) = 1.
Given numbers are 289, 375, 424, 650
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 650 are 2 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 289, 375, 424, 650
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 375) = 108375
GCD(289, 375) = ( 289 x 375 ) / 108375
= 289 / 375
= 289
Step2:
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
= 1 / 424
= 1
Step3:
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
= 1 / 650
= 1
So, Greatest Common Divisor of 289, 375, 424, 650 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 289, 375, 424, 650
The greatest common divisor of numbers 289, 375, 424, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 375, 424, 650 is 1.
1. What is the GCD of 289, 375, 424, 650?
GCD of given numbers 289, 375, 424, 650 is 1
2. How to calculate the greatest common divisor of 289, 375, 424, 650?
We can find the highest common divisor of 289, 375, 424, 650 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 289, 375, 424, 650 i.e 1.
3. How can I use the GCD of 289, 375, 424, 650Calculator?
Out the numbers 289, 375, 424, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.