Online GCD Calculator is useful to find the GCD of 392, 892, 162, 284 quickly. Get the easiest ways to solve the greatest common divisor of 392, 892, 162, 284 i.e 2 in different methods as follows.
Given Input numbers are 392, 892, 162, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (392, 892, 162, 284) = 2.
Given numbers are 392, 892, 162, 284
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 892 are 2 x 2 x 223
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 21
Therefore, GCD of 392, 892, 162, 284 is 2.
Given numbers are 392, 892, 162, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 892) = 87416
GCD(392, 892) = ( 392 x 892 ) / 87416
= 392 / 892
= 392
Step2:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
Step3:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
So, Greatest Common Divisor of 392, 892, 162, 284 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 892, 162, 284
The greatest common divisor of numbers 392, 892, 162, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 892, 162, 284 is 2.
1. What is the GCD of 392, 892, 162, 284?
GCD of given numbers 392, 892, 162, 284 is 2
2. How to calculate the greatest common divisor of 392, 892, 162, 284?
We can find the highest common divisor of 392, 892, 162, 284 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 392, 892, 162, 284 i.e 2.
3. How can I use the GCD of 392, 892, 162, 284Calculator?
Out the numbers 392, 892, 162, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.