Online GCD Calculator is useful to find the GCD of 942, 117, 477, 831 quickly. Get the easiest ways to solve the greatest common divisor of 942, 117, 477, 831 i.e 3 in different methods as follows.
Given Input numbers are 942, 117, 477, 831
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 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (942, 117, 477, 831) = 3.
Given numbers are 942, 117, 477, 831
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 117 are 3 x 3 x 13
Prime factors of 477 are 3 x 3 x 53
Prime factors of 831 are 3 x 277
The highest common occurrence is 31
Therefore, GCD of 942, 117, 477, 831 is 3.
Given numbers are 942, 117, 477, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 117) = 36738
GCD(942, 117) = ( 942 x 117 ) / 36738
= 942 / 117
= 942
Step2:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
Step3:
LCM(3, 831) = 831
GCD(3, 831) = ( 3 x 831 ) / 831
= 3 / 831
= 3
So, Greatest Common Divisor of 942, 117, 477, 831 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 117, 477, 831
The greatest common divisor of numbers 942, 117, 477, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 117, 477, 831 is 3.
1. What is the GCD of 942, 117, 477, 831?
GCD of given numbers 942, 117, 477, 831 is 3
2. How to calculate the greatest common divisor of 942, 117, 477, 831?
We can find the highest common divisor of 942, 117, 477, 831 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, 117, 477, 831 i.e 3.
3. How can I use the GCD of 942, 117, 477, 831Calculator?
Out the numbers 942, 117, 477, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.