Online GCD Calculator is useful to find the GCD of 882, 980, 189 quickly. Get the easiest ways to solve the greatest common divisor of 882, 980, 189 i.e 7 in different methods as follows.
Given Input numbers are 882, 980, 189
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 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (882, 980, 189) = 7.
Given numbers are 882, 980, 189
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 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
The highest common occurrence is 71
Therefore, GCD of 882, 980, 189 is 7.
Given numbers are 882, 980, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 980) = 8820
GCD(882, 980) = ( 882 x 980 ) / 8820
= 882 / 980
= 882
Step2:
LCM(98, 189) = 2646
GCD(98, 189) = ( 98 x 189 ) / 2646
= 98 / 189
= 98
So, Greatest Common Divisor of 882, 980, 189 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 980, 189
The greatest common divisor of numbers 882, 980, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 980, 189 is 7.
1. What is the GCD of 882, 980, 189?
GCD of given numbers 882, 980, 189 is 7
2. How to calculate the greatest common divisor of 882, 980, 189?
We can find the highest common divisor of 882, 980, 189 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, 980, 189 i.e 7.
3. How can I use the GCD of 882, 980, 189Calculator?
Out the numbers 882, 980, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.