Online GCD Calculator is useful to find the GCD of 384, 692, 588, 942 quickly. Get the easiest ways to solve the greatest common divisor of 384, 692, 588, 942 i.e 2 in different methods as follows.
Given Input numbers are 384, 692, 588, 942
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (384, 692, 588, 942) = 2.
Given numbers are 384, 692, 588, 942
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 692 are 2 x 2 x 173
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 21
Therefore, GCD of 384, 692, 588, 942 is 2.
Given numbers are 384, 692, 588, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 692) = 66432
GCD(384, 692) = ( 384 x 692 ) / 66432
= 384 / 692
= 384
Step2:
LCM(4, 588) = 588
GCD(4, 588) = ( 4 x 588 ) / 588
= 4 / 588
= 4
Step3:
LCM(4, 942) = 1884
GCD(4, 942) = ( 4 x 942 ) / 1884
= 4 / 942
= 4
So, Greatest Common Divisor of 384, 692, 588, 942 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 692, 588, 942
The greatest common divisor of numbers 384, 692, 588, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 692, 588, 942 is 2.
1. What is the GCD of 384, 692, 588, 942?
GCD of given numbers 384, 692, 588, 942 is 2
2. How to calculate the greatest common divisor of 384, 692, 588, 942?
We can find the highest common divisor of 384, 692, 588, 942 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 384, 692, 588, 942 i.e 2.
3. How can I use the GCD of 384, 692, 588, 942Calculator?
Out the numbers 384, 692, 588, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.