Online GCD Calculator is useful to find the GCD of 975, 561, 882 quickly. Get the easiest ways to solve the greatest common divisor of 975, 561, 882 i.e 3 in different methods as follows.
Given Input numbers are 975, 561, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
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
GCD of numbers is the greatest common divisor
So, the GCD (975, 561, 882) = 3.
Given numbers are 975, 561, 882
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 561 are 3 x 11 x 17
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 975, 561, 882 is 3.
Given numbers are 975, 561, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 561) = 182325
GCD(975, 561) = ( 975 x 561 ) / 182325
= 975 / 561
= 975
Step2:
LCM(3, 882) = 882
GCD(3, 882) = ( 3 x 882 ) / 882
= 3 / 882
= 3
So, Greatest Common Divisor of 975, 561, 882 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 561, 882
The greatest common divisor of numbers 975, 561, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 561, 882 is 3.
1. What is the GCD of 975, 561, 882?
GCD of given numbers 975, 561, 882 is 3
2. How to calculate the greatest common divisor of 975, 561, 882?
We can find the highest common divisor of 975, 561, 882 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 975, 561, 882 i.e 3.
3. How can I use the GCD of 975, 561, 882Calculator?
Out the numbers 975, 561, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.