Online GCD Calculator is useful to find the GCD of 796, 792, 980, 824 quickly. Get the easiest ways to solve the greatest common divisor of 796, 792, 980, 824 i.e 4 in different methods as follows.
Given Input numbers are 796, 792, 980, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
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 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (796, 792, 980, 824) = 4.
Given numbers are 796, 792, 980, 824
The list of prime factors of all numbers are
Prime factors of 796 are 2 x 2 x 199
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 22
Therefore, GCD of 796, 792, 980, 824 is 4.
Given numbers are 796, 792, 980, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(796, 792) = 157608
GCD(796, 792) = ( 796 x 792 ) / 157608
= 796 / 792
= 796
Step2:
LCM(4, 980) = 980
GCD(4, 980) = ( 4 x 980 ) / 980
= 4 / 980
= 4
Step3:
LCM(4, 824) = 824
GCD(4, 824) = ( 4 x 824 ) / 824
= 4 / 824
= 4
So, Greatest Common Divisor of 796, 792, 980, 824 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 796, 792, 980, 824
The greatest common divisor of numbers 796, 792, 980, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 792, 980, 824 is 4.
1. What is the GCD of 796, 792, 980, 824?
GCD of given numbers 796, 792, 980, 824 is 4
2. How to calculate the greatest common divisor of 796, 792, 980, 824?
We can find the highest common divisor of 796, 792, 980, 824 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 796, 792, 980, 824 i.e 4.
3. How can I use the GCD of 796, 792, 980, 824Calculator?
Out the numbers 796, 792, 980, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.