Online GCD Calculator is useful to find the GCD of 126, 728, 620, 816 quickly. Get the easiest ways to solve the greatest common divisor of 126, 728, 620, 816 i.e 2 in different methods as follows.
Given Input numbers are 126, 728, 620, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
GCD of numbers is the greatest common divisor
So, the GCD (126, 728, 620, 816) = 2.
Given numbers are 126, 728, 620, 816
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 126, 728, 620, 816 is 2.
Given numbers are 126, 728, 620, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 728) = 6552
GCD(126, 728) = ( 126 x 728 ) / 6552
= 126 / 728
= 126
Step2:
LCM(14, 620) = 4340
GCD(14, 620) = ( 14 x 620 ) / 4340
= 14 / 620
= 14
Step3:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
So, Greatest Common Divisor of 126, 728, 620, 816 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 728, 620, 816
The greatest common divisor of numbers 126, 728, 620, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 728, 620, 816 is 2.
1. What is the GCD of 126, 728, 620, 816?
GCD of given numbers 126, 728, 620, 816 is 2
2. How to calculate the greatest common divisor of 126, 728, 620, 816?
We can find the highest common divisor of 126, 728, 620, 816 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 126, 728, 620, 816 i.e 2.
3. How can I use the GCD of 126, 728, 620, 816Calculator?
Out the numbers 126, 728, 620, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.