Online GCD Calculator is useful to find the GCD of 636, 231, 948, 969 quickly. Get the easiest ways to solve the greatest common divisor of 636, 231, 948, 969 i.e 3 in different methods as follows.
Given Input numbers are 636, 231, 948, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (636, 231, 948, 969) = 3.
Given numbers are 636, 231, 948, 969
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 231 are 3 x 7 x 11
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 969 are 3 x 17 x 19
The highest common occurrence is 31
Therefore, GCD of 636, 231, 948, 969 is 3.
Given numbers are 636, 231, 948, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 231) = 48972
GCD(636, 231) = ( 636 x 231 ) / 48972
= 636 / 231
= 636
Step2:
LCM(3, 948) = 948
GCD(3, 948) = ( 3 x 948 ) / 948
= 3 / 948
= 3
Step3:
LCM(3, 969) = 969
GCD(3, 969) = ( 3 x 969 ) / 969
= 3 / 969
= 3
So, Greatest Common Divisor of 636, 231, 948, 969 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 231, 948, 969
The greatest common divisor of numbers 636, 231, 948, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 231, 948, 969 is 3.
1. What is the GCD of 636, 231, 948, 969?
GCD of given numbers 636, 231, 948, 969 is 3
2. How to calculate the greatest common divisor of 636, 231, 948, 969?
We can find the highest common divisor of 636, 231, 948, 969 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 636, 231, 948, 969 i.e 3.
3. How can I use the GCD of 636, 231, 948, 969Calculator?
Out the numbers 636, 231, 948, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.