Online GCD Calculator is useful to find the GCD of 658, 122, 360, 500 quickly. Get the easiest ways to solve the greatest common divisor of 658, 122, 360, 500 i.e 2 in different methods as follows.
Given Input numbers are 658, 122, 360, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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
GCD of numbers is the greatest common divisor
So, the GCD (658, 122, 360, 500) = 2.
Given numbers are 658, 122, 360, 500
The list of prime factors of all numbers are
Prime factors of 658 are 2 x 7 x 47
Prime factors of 122 are 2 x 61
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 658, 122, 360, 500 is 2.
Given numbers are 658, 122, 360, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(658, 122) = 40138
GCD(658, 122) = ( 658 x 122 ) / 40138
= 658 / 122
= 658
Step2:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
Step3:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
So, Greatest Common Divisor of 658, 122, 360, 500 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 658, 122, 360, 500
The greatest common divisor of numbers 658, 122, 360, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 122, 360, 500 is 2.
1. What is the GCD of 658, 122, 360, 500?
GCD of given numbers 658, 122, 360, 500 is 2
2. How to calculate the greatest common divisor of 658, 122, 360, 500?
We can find the highest common divisor of 658, 122, 360, 500 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 658, 122, 360, 500 i.e 2.
3. How can I use the GCD of 658, 122, 360, 500Calculator?
Out the numbers 658, 122, 360, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.