Online GCD Calculator is useful to find the GCD of 882, 242, 200, 496 quickly. Get the easiest ways to solve the greatest common divisor of 882, 242, 200, 496 i.e 2 in different methods as follows.
Given Input numbers are 882, 242, 200, 496
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 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (882, 242, 200, 496) = 2.
Given numbers are 882, 242, 200, 496
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 242 are 2 x 11 x 11
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 882, 242, 200, 496 is 2.
Given numbers are 882, 242, 200, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 242) = 106722
GCD(882, 242) = ( 882 x 242 ) / 106722
= 882 / 242
= 882
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
So, Greatest Common Divisor of 882, 242, 200, 496 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 242, 200, 496
The greatest common divisor of numbers 882, 242, 200, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 242, 200, 496 is 2.
1. What is the GCD of 882, 242, 200, 496?
GCD of given numbers 882, 242, 200, 496 is 2
2. How to calculate the greatest common divisor of 882, 242, 200, 496?
We can find the highest common divisor of 882, 242, 200, 496 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, 242, 200, 496 i.e 2.
3. How can I use the GCD of 882, 242, 200, 496Calculator?
Out the numbers 882, 242, 200, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.