Online GCD Calculator is useful to find the GCD of 969, 885, 126, 828 quickly. Get the easiest ways to solve the greatest common divisor of 969, 885, 126, 828 i.e 3 in different methods as follows.
Given Input numbers are 969, 885, 126, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
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 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 (969, 885, 126, 828) = 3.
Given numbers are 969, 885, 126, 828
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 885 are 3 x 5 x 59
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 969, 885, 126, 828 is 3.
Given numbers are 969, 885, 126, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 885) = 285855
GCD(969, 885) = ( 969 x 885 ) / 285855
= 969 / 885
= 969
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
Step3:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
So, Greatest Common Divisor of 969, 885, 126, 828 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 885, 126, 828
The greatest common divisor of numbers 969, 885, 126, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 885, 126, 828 is 3.
1. What is the GCD of 969, 885, 126, 828?
GCD of given numbers 969, 885, 126, 828 is 3
2. How to calculate the greatest common divisor of 969, 885, 126, 828?
We can find the highest common divisor of 969, 885, 126, 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 969, 885, 126, 828 i.e 3.
3. How can I use the GCD of 969, 885, 126, 828Calculator?
Out the numbers 969, 885, 126, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.