Online GCD Calculator is useful to find the GCD of 945, 996, 813, 828 quickly. Get the easiest ways to solve the greatest common divisor of 945, 996, 813, 828 i.e 3 in different methods as follows.
Given Input numbers are 945, 996, 813, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (945, 996, 813, 828) = 3.
Given numbers are 945, 996, 813, 828
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 813 are 3 x 271
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 945, 996, 813, 828 is 3.
Given numbers are 945, 996, 813, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 996) = 313740
GCD(945, 996) = ( 945 x 996 ) / 313740
= 945 / 996
= 945
Step2:
LCM(3, 813) = 813
GCD(3, 813) = ( 3 x 813 ) / 813
= 3 / 813
= 3
Step3:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
So, Greatest Common Divisor of 945, 996, 813, 828 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 945, 996, 813, 828
The greatest common divisor of numbers 945, 996, 813, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 996, 813, 828 is 3.
1. What is the GCD of 945, 996, 813, 828?
GCD of given numbers 945, 996, 813, 828 is 3
2. How to calculate the greatest common divisor of 945, 996, 813, 828?
We can find the highest common divisor of 945, 996, 813, 828 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 945, 996, 813, 828 i.e 3.
3. How can I use the GCD of 945, 996, 813, 828Calculator?
Out the numbers 945, 996, 813, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.