Online GCD Calculator is useful to find the GCD of 558, 782, 392, 932 quickly. Get the easiest ways to solve the greatest common divisor of 558, 782, 392, 932 i.e 2 in different methods as follows.
Given Input numbers are 558, 782, 392, 932
In the factoring method, we have to find the divisors of all numbers
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
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 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
GCD of numbers is the greatest common divisor
So, the GCD (558, 782, 392, 932) = 2.
Given numbers are 558, 782, 392, 932
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 782 are 2 x 17 x 23
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 932 are 2 x 2 x 233
The highest common occurrence is 21
Therefore, GCD of 558, 782, 392, 932 is 2.
Given numbers are 558, 782, 392, 932
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 782) = 218178
GCD(558, 782) = ( 558 x 782 ) / 218178
= 558 / 782
= 558
Step2:
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
= 2 / 392
= 2
Step3:
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
= 2 / 932
= 2
So, Greatest Common Divisor of 558, 782, 392, 932 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 782, 392, 932
The greatest common divisor of numbers 558, 782, 392, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 782, 392, 932 is 2.
1. What is the GCD of 558, 782, 392, 932?
GCD of given numbers 558, 782, 392, 932 is 2
2. How to calculate the greatest common divisor of 558, 782, 392, 932?
We can find the highest common divisor of 558, 782, 392, 932 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 558, 782, 392, 932 i.e 2.
3. How can I use the GCD of 558, 782, 392, 932Calculator?
Out the numbers 558, 782, 392, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.