Online GCD Calculator is useful to find the GCD of 882, 484, 398, 358 quickly. Get the easiest ways to solve the greatest common divisor of 882, 484, 398, 358 i.e 2 in different methods as follows.
Given Input numbers are 882, 484, 398, 358
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (882, 484, 398, 358) = 2.
Given numbers are 882, 484, 398, 358
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 484 are 2 x 2 x 11 x 11
Prime factors of 398 are 2 x 199
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 882, 484, 398, 358 is 2.
Given numbers are 882, 484, 398, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 484) = 213444
GCD(882, 484) = ( 882 x 484 ) / 213444
= 882 / 484
= 882
Step2:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
Step3:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
So, Greatest Common Divisor of 882, 484, 398, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 484, 398, 358
The greatest common divisor of numbers 882, 484, 398, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 484, 398, 358 is 2.
1. What is the GCD of 882, 484, 398, 358?
GCD of given numbers 882, 484, 398, 358 is 2
2. How to calculate the greatest common divisor of 882, 484, 398, 358?
We can find the highest common divisor of 882, 484, 398, 358 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, 484, 398, 358 i.e 2.
3. How can I use the GCD of 882, 484, 398, 358Calculator?
Out the numbers 882, 484, 398, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.