Online GCD Calculator is useful to find the GCD of 720, 124, 822, 188 quickly. Get the easiest ways to solve the greatest common divisor of 720, 124, 822, 188 i.e 2 in different methods as follows.
Given Input numbers are 720, 124, 822, 188
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
GCD of numbers is the greatest common divisor
So, the GCD (720, 124, 822, 188) = 2.
Given numbers are 720, 124, 822, 188
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 124 are 2 x 2 x 31
Prime factors of 822 are 2 x 3 x 137
Prime factors of 188 are 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 720, 124, 822, 188 is 2.
Given numbers are 720, 124, 822, 188
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 124) = 22320
GCD(720, 124) = ( 720 x 124 ) / 22320
= 720 / 124
= 720
Step2:
LCM(4, 822) = 1644
GCD(4, 822) = ( 4 x 822 ) / 1644
= 4 / 822
= 4
Step3:
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
= 2 / 188
= 2
So, Greatest Common Divisor of 720, 124, 822, 188 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 124, 822, 188
The greatest common divisor of numbers 720, 124, 822, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 124, 822, 188 is 2.
1. What is the GCD of 720, 124, 822, 188?
GCD of given numbers 720, 124, 822, 188 is 2
2. How to calculate the greatest common divisor of 720, 124, 822, 188?
We can find the highest common divisor of 720, 124, 822, 188 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 720, 124, 822, 188 i.e 2.
3. How can I use the GCD of 720, 124, 822, 188Calculator?
Out the numbers 720, 124, 822, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.