Online GCD Calculator is useful to find the GCD of 882, 549, 699, 783 quickly. Get the easiest ways to solve the greatest common divisor of 882, 549, 699, 783 i.e 3 in different methods as follows.
Given Input numbers are 882, 549, 699, 783
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 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
GCD of numbers is the greatest common divisor
So, the GCD (882, 549, 699, 783) = 3.
Given numbers are 882, 549, 699, 783
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 549 are 3 x 3 x 61
Prime factors of 699 are 3 x 233
Prime factors of 783 are 3 x 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 882, 549, 699, 783 is 3.
Given numbers are 882, 549, 699, 783
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 549) = 53802
GCD(882, 549) = ( 882 x 549 ) / 53802
= 882 / 549
= 882
Step2:
LCM(9, 699) = 2097
GCD(9, 699) = ( 9 x 699 ) / 2097
= 9 / 699
= 9
Step3:
LCM(3, 783) = 783
GCD(3, 783) = ( 3 x 783 ) / 783
= 3 / 783
= 3
So, Greatest Common Divisor of 882, 549, 699, 783 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 549, 699, 783
The greatest common divisor of numbers 882, 549, 699, 783 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 549, 699, 783 is 3.
1. What is the GCD of 882, 549, 699, 783?
GCD of given numbers 882, 549, 699, 783 is 3
2. How to calculate the greatest common divisor of 882, 549, 699, 783?
We can find the highest common divisor of 882, 549, 699, 783 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, 549, 699, 783 i.e 3.
3. How can I use the GCD of 882, 549, 699, 783Calculator?
Out the numbers 882, 549, 699, 783 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.