Online GCD Calculator is useful to find the GCD of 969, 432, 183, 771 quickly. Get the easiest ways to solve the greatest common divisor of 969, 432, 183, 771 i.e 3 in different methods as follows.
Given Input numbers are 969, 432, 183, 771
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
GCD of numbers is the greatest common divisor
So, the GCD (969, 432, 183, 771) = 3.
Given numbers are 969, 432, 183, 771
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 183 are 3 x 61
Prime factors of 771 are 3 x 257
The highest common occurrence is 31
Therefore, GCD of 969, 432, 183, 771 is 3.
Given numbers are 969, 432, 183, 771
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 432) = 139536
GCD(969, 432) = ( 969 x 432 ) / 139536
= 969 / 432
= 969
Step2:
LCM(3, 183) = 183
GCD(3, 183) = ( 3 x 183 ) / 183
= 3 / 183
= 3
Step3:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
So, Greatest Common Divisor of 969, 432, 183, 771 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 432, 183, 771
The greatest common divisor of numbers 969, 432, 183, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 432, 183, 771 is 3.
1. What is the GCD of 969, 432, 183, 771?
GCD of given numbers 969, 432, 183, 771 is 3
2. How to calculate the greatest common divisor of 969, 432, 183, 771?
We can find the highest common divisor of 969, 432, 183, 771 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, 432, 183, 771 i.e 3.
3. How can I use the GCD of 969, 432, 183, 771Calculator?
Out the numbers 969, 432, 183, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.