Online GCD Calculator is useful to find the GCD of 659, 725, 500, 484 quickly. Get the easiest ways to solve the greatest common divisor of 659, 725, 500, 484 i.e 1 in different methods as follows.
Given Input numbers are 659, 725, 500, 484
In the factoring method, we have to find the divisors of all numbers
Divisors of 659 :
The positive integer divisors of 659 that completely divides 659 are.
1, 659
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (659, 725, 500, 484) = 1.
Given numbers are 659, 725, 500, 484
The list of prime factors of all numbers are
Prime factors of 659 are 659
Prime factors of 725 are 5 x 5 x 29
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 484 are 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 659, 725, 500, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(659, 725) = 477775
GCD(659, 725) = ( 659 x 725 ) / 477775
= 659 / 725
= 659
Step2:
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
= 1 / 500
= 1
Step3:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
So, Greatest Common Divisor of 659, 725, 500, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 659, 725, 500, 484
The greatest common divisor of numbers 659, 725, 500, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 659, 725, 500, 484 is 1.
1. What is the GCD of 659, 725, 500, 484?
GCD of given numbers 659, 725, 500, 484 is 1
2. How to calculate the greatest common divisor of 659, 725, 500, 484?
We can find the highest common divisor of 659, 725, 500, 484 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 659, 725, 500, 484 i.e 1.
3. How can I use the GCD of 659, 725, 500, 484Calculator?
Out the numbers 659, 725, 500, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.