Online GCD Calculator is useful to find the GCD of 942, 732, 176, 894 quickly. Get the easiest ways to solve the greatest common divisor of 942, 732, 176, 894 i.e 2 in different methods as follows.
Given Input numbers are 942, 732, 176, 894
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (942, 732, 176, 894) = 2.
Given numbers are 942, 732, 176, 894
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 21
Therefore, GCD of 942, 732, 176, 894 is 2.
Given numbers are 942, 732, 176, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 732) = 114924
GCD(942, 732) = ( 942 x 732 ) / 114924
= 942 / 732
= 942
Step2:
LCM(6, 176) = 528
GCD(6, 176) = ( 6 x 176 ) / 528
= 6 / 176
= 6
Step3:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
So, Greatest Common Divisor of 942, 732, 176, 894 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 732, 176, 894
The greatest common divisor of numbers 942, 732, 176, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 732, 176, 894 is 2.
1. What is the GCD of 942, 732, 176, 894?
GCD of given numbers 942, 732, 176, 894 is 2
2. How to calculate the greatest common divisor of 942, 732, 176, 894?
We can find the highest common divisor of 942, 732, 176, 894 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 942, 732, 176, 894 i.e 2.
3. How can I use the GCD of 942, 732, 176, 894Calculator?
Out the numbers 942, 732, 176, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.