Online GCD Calculator is useful to find the GCD of 356, 792, 84, 942 quickly. Get the easiest ways to solve the greatest common divisor of 356, 792, 84, 942 i.e 2 in different methods as follows.
Given Input numbers are 356, 792, 84, 942
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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 (356, 792, 84, 942) = 2.
Given numbers are 356, 792, 84, 942
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 21
Therefore, GCD of 356, 792, 84, 942 is 2.
Given numbers are 356, 792, 84, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 792) = 70488
GCD(356, 792) = ( 356 x 792 ) / 70488
= 356 / 792
= 356
Step2:
LCM(4, 84) = 84
GCD(4, 84) = ( 4 x 84 ) / 84
= 4 / 84
= 4
Step3:
LCM(4, 942) = 1884
GCD(4, 942) = ( 4 x 942 ) / 1884
= 4 / 942
= 4
So, Greatest Common Divisor of 356, 792, 84, 942 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 792, 84, 942
The greatest common divisor of numbers 356, 792, 84, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 792, 84, 942 is 2.
1. What is the GCD of 356, 792, 84, 942?
GCD of given numbers 356, 792, 84, 942 is 2
2. How to calculate the greatest common divisor of 356, 792, 84, 942?
We can find the highest common divisor of 356, 792, 84, 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 356, 792, 84, 942 i.e 2.
3. How can I use the GCD of 356, 792, 84, 942Calculator?
Out the numbers 356, 792, 84, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.