Online GCD Calculator is useful to find the GCD of 382, 142, 884, 470 quickly. Get the easiest ways to solve the greatest common divisor of 382, 142, 884, 470 i.e 2 in different methods as follows.
Given Input numbers are 382, 142, 884, 470
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (382, 142, 884, 470) = 2.
Given numbers are 382, 142, 884, 470
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 142 are 2 x 71
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 470 are 2 x 5 x 47
The highest common occurrence is 21
Therefore, GCD of 382, 142, 884, 470 is 2.
Given numbers are 382, 142, 884, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 142) = 27122
GCD(382, 142) = ( 382 x 142 ) / 27122
= 382 / 142
= 382
Step2:
LCM(2, 884) = 884
GCD(2, 884) = ( 2 x 884 ) / 884
= 2 / 884
= 2
Step3:
LCM(2, 470) = 470
GCD(2, 470) = ( 2 x 470 ) / 470
= 2 / 470
= 2
So, Greatest Common Divisor of 382, 142, 884, 470 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 142, 884, 470
The greatest common divisor of numbers 382, 142, 884, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 142, 884, 470 is 2.
1. What is the GCD of 382, 142, 884, 470?
GCD of given numbers 382, 142, 884, 470 is 2
2. How to calculate the greatest common divisor of 382, 142, 884, 470?
We can find the highest common divisor of 382, 142, 884, 470 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 382, 142, 884, 470 i.e 2.
3. How can I use the GCD of 382, 142, 884, 470Calculator?
Out the numbers 382, 142, 884, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.