Online GCD Calculator is useful to find the GCD of 792, 870, 986, 628 quickly. Get the easiest ways to solve the greatest common divisor of 792, 870, 986, 628 i.e 2 in different methods as follows.
Given Input numbers are 792, 870, 986, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (792, 870, 986, 628) = 2.
Given numbers are 792, 870, 986, 628
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 986 are 2 x 17 x 29
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 792, 870, 986, 628 is 2.
Given numbers are 792, 870, 986, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 870) = 114840
GCD(792, 870) = ( 792 x 870 ) / 114840
= 792 / 870
= 792
Step2:
LCM(6, 986) = 2958
GCD(6, 986) = ( 6 x 986 ) / 2958
= 6 / 986
= 6
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 792, 870, 986, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 870, 986, 628
The greatest common divisor of numbers 792, 870, 986, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 870, 986, 628 is 2.
1. What is the GCD of 792, 870, 986, 628?
GCD of given numbers 792, 870, 986, 628 is 2
2. How to calculate the greatest common divisor of 792, 870, 986, 628?
We can find the highest common divisor of 792, 870, 986, 628 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 792, 870, 986, 628 i.e 2.
3. How can I use the GCD of 792, 870, 986, 628Calculator?
Out the numbers 792, 870, 986, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.