Online GCD Calculator is useful to find the GCD of 969, 828, 909, 214 quickly. Get the easiest ways to solve the greatest common divisor of 969, 828, 909, 214 i.e 1 in different methods as follows.
Given Input numbers are 969, 828, 909, 214
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 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
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (969, 828, 909, 214) = 1.
Given numbers are 969, 828, 909, 214
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 909 are 3 x 3 x 101
Prime factors of 214 are 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 969, 828, 909, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 828) = 267444
GCD(969, 828) = ( 969 x 828 ) / 267444
= 969 / 828
= 969
Step2:
LCM(3, 909) = 909
GCD(3, 909) = ( 3 x 909 ) / 909
= 3 / 909
= 3
Step3:
LCM(3, 214) = 642
GCD(3, 214) = ( 3 x 214 ) / 642
= 3 / 214
= 3
So, Greatest Common Divisor of 969, 828, 909, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 828, 909, 214
The greatest common divisor of numbers 969, 828, 909, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 828, 909, 214 is 1.
1. What is the GCD of 969, 828, 909, 214?
GCD of given numbers 969, 828, 909, 214 is 1
2. How to calculate the greatest common divisor of 969, 828, 909, 214?
We can find the highest common divisor of 969, 828, 909, 214 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, 828, 909, 214 i.e 1.
3. How can I use the GCD of 969, 828, 909, 214Calculator?
Out the numbers 969, 828, 909, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.