Online GCD Calculator is useful to find the GCD of 882, 749, 194, 123 quickly. Get the easiest ways to solve the greatest common divisor of 882, 749, 194, 123 i.e 1 in different methods as follows.
Given Input numbers are 882, 749, 194, 123
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 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (882, 749, 194, 123) = 1.
Given numbers are 882, 749, 194, 123
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 749 are 7 x 107
Prime factors of 194 are 2 x 97
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 882, 749, 194, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 749) = 94374
GCD(882, 749) = ( 882 x 749 ) / 94374
= 882 / 749
= 882
Step2:
LCM(7, 194) = 1358
GCD(7, 194) = ( 7 x 194 ) / 1358
= 7 / 194
= 7
Step3:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
So, Greatest Common Divisor of 882, 749, 194, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 749, 194, 123
The greatest common divisor of numbers 882, 749, 194, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 749, 194, 123 is 1.
1. What is the GCD of 882, 749, 194, 123?
GCD of given numbers 882, 749, 194, 123 is 1
2. How to calculate the greatest common divisor of 882, 749, 194, 123?
We can find the highest common divisor of 882, 749, 194, 123 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, 749, 194, 123 i.e 1.
3. How can I use the GCD of 882, 749, 194, 123Calculator?
Out the numbers 882, 749, 194, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.