Online GCD Calculator is useful to find the GCD of 715, 484, 165, 583 quickly. Get the easiest ways to solve the greatest common divisor of 715, 484, 165, 583 i.e 11 in different methods as follows.
Given Input numbers are 715, 484, 165, 583
In the factoring method, we have to find the divisors of all numbers
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 583 :
The positive integer divisors of 583 that completely divides 583 are.
1, 11, 53, 583
GCD of numbers is the greatest common divisor
So, the GCD (715, 484, 165, 583) = 11.
Given numbers are 715, 484, 165, 583
The list of prime factors of all numbers are
Prime factors of 715 are 5 x 11 x 13
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 165 are 3 x 5 x 11
Prime factors of 583 are 11 x 53
The highest common occurrence is 111
Therefore, GCD of 715, 484, 165, 583 is 11.
Given numbers are 715, 484, 165, 583
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(715, 484) = 31460
GCD(715, 484) = ( 715 x 484 ) / 31460
= 715 / 484
= 715
Step2:
LCM(11, 165) = 165
GCD(11, 165) = ( 11 x 165 ) / 165
= 11 / 165
= 11
Step3:
LCM(11, 583) = 583
GCD(11, 583) = ( 11 x 583 ) / 583
= 11 / 583
= 11
So, Greatest Common Divisor of 715, 484, 165, 583 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 715, 484, 165, 583
The greatest common divisor of numbers 715, 484, 165, 583 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 484, 165, 583 is 11.
1. What is the GCD of 715, 484, 165, 583?
GCD of given numbers 715, 484, 165, 583 is 11
2. How to calculate the greatest common divisor of 715, 484, 165, 583?
We can find the highest common divisor of 715, 484, 165, 583 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 715, 484, 165, 583 i.e 11.
3. How can I use the GCD of 715, 484, 165, 583Calculator?
Out the numbers 715, 484, 165, 583 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.