Online GCD Calculator is useful to find the GCD of 882, 952, 969, 214 quickly. Get the easiest ways to solve the greatest common divisor of 882, 952, 969, 214 i.e 1 in different methods as follows.
Given Input numbers are 882, 952, 969, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
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 (882, 952, 969, 214) = 1.
Given numbers are 882, 952, 969, 214
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 969 are 3 x 17 x 19
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 882, 952, 969, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 952) = 59976
GCD(882, 952) = ( 882 x 952 ) / 59976
= 882 / 952
= 882
Step2:
LCM(14, 969) = 13566
GCD(14, 969) = ( 14 x 969 ) / 13566
= 14 / 969
= 14
Step3:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
So, Greatest Common Divisor of 882, 952, 969, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 952, 969, 214
The greatest common divisor of numbers 882, 952, 969, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 952, 969, 214 is 1.
1. What is the GCD of 882, 952, 969, 214?
GCD of given numbers 882, 952, 969, 214 is 1
2. How to calculate the greatest common divisor of 882, 952, 969, 214?
We can find the highest common divisor of 882, 952, 969, 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 882, 952, 969, 214 i.e 1.
3. How can I use the GCD of 882, 952, 969, 214Calculator?
Out the numbers 882, 952, 969, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.