Online GCD Calculator is useful to find the GCD of 882, 119, 209, 764 quickly. Get the easiest ways to solve the greatest common divisor of 882, 119, 209, 764 i.e 1 in different methods as follows.
Given Input numbers are 882, 119, 209, 764
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 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (882, 119, 209, 764) = 1.
Given numbers are 882, 119, 209, 764
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 119 are 7 x 17
Prime factors of 209 are 11 x 19
Prime factors of 764 are 2 x 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 882, 119, 209, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 119) = 14994
GCD(882, 119) = ( 882 x 119 ) / 14994
= 882 / 119
= 882
Step2:
LCM(7, 209) = 1463
GCD(7, 209) = ( 7 x 209 ) / 1463
= 7 / 209
= 7
Step3:
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
= 1 / 764
= 1
So, Greatest Common Divisor of 882, 119, 209, 764 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 119, 209, 764
The greatest common divisor of numbers 882, 119, 209, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 119, 209, 764 is 1.
1. What is the GCD of 882, 119, 209, 764?
GCD of given numbers 882, 119, 209, 764 is 1
2. How to calculate the greatest common divisor of 882, 119, 209, 764?
We can find the highest common divisor of 882, 119, 209, 764 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, 119, 209, 764 i.e 1.
3. How can I use the GCD of 882, 119, 209, 764Calculator?
Out the numbers 882, 119, 209, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.