Online GCD Calculator is useful to find the GCD of 711, 114, 969, 711 quickly. Get the easiest ways to solve the greatest common divisor of 711, 114, 969, 711 i.e 3 in different methods as follows.
Given Input numbers are 711, 114, 969, 711
In the factoring method, we have to find the divisors of all numbers
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
GCD of numbers is the greatest common divisor
So, the GCD (711, 114, 969, 711) = 3.
Given numbers are 711, 114, 969, 711
The list of prime factors of all numbers are
Prime factors of 711 are 3 x 3 x 79
Prime factors of 114 are 2 x 3 x 19
Prime factors of 969 are 3 x 17 x 19
Prime factors of 711 are 3 x 3 x 79
The highest common occurrence is 31
Therefore, GCD of 711, 114, 969, 711 is 3.
Given numbers are 711, 114, 969, 711
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(711, 114) = 27018
GCD(711, 114) = ( 711 x 114 ) / 27018
= 711 / 114
= 711
Step2:
LCM(3, 969) = 969
GCD(3, 969) = ( 3 x 969 ) / 969
= 3 / 969
= 3
Step3:
LCM(3, 711) = 711
GCD(3, 711) = ( 3 x 711 ) / 711
= 3 / 711
= 3
So, Greatest Common Divisor of 711, 114, 969, 711 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 711, 114, 969, 711
The greatest common divisor of numbers 711, 114, 969, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 114, 969, 711 is 3.
1. What is the GCD of 711, 114, 969, 711?
GCD of given numbers 711, 114, 969, 711 is 3
2. How to calculate the greatest common divisor of 711, 114, 969, 711?
We can find the highest common divisor of 711, 114, 969, 711 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 711, 114, 969, 711 i.e 3.
3. How can I use the GCD of 711, 114, 969, 711Calculator?
Out the numbers 711, 114, 969, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.