Online GCD Calculator is useful to find the GCD of 112, 488, 954, 742 quickly. Get the easiest ways to solve the greatest common divisor of 112, 488, 954, 742 i.e 2 in different methods as follows.
Given Input numbers are 112, 488, 954, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (112, 488, 954, 742) = 2.
Given numbers are 112, 488, 954, 742
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 112, 488, 954, 742 is 2.
Given numbers are 112, 488, 954, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 488) = 6832
GCD(112, 488) = ( 112 x 488 ) / 6832
= 112 / 488
= 112
Step2:
LCM(8, 954) = 3816
GCD(8, 954) = ( 8 x 954 ) / 3816
= 8 / 954
= 8
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 112, 488, 954, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 488, 954, 742
The greatest common divisor of numbers 112, 488, 954, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 488, 954, 742 is 2.
1. What is the GCD of 112, 488, 954, 742?
GCD of given numbers 112, 488, 954, 742 is 2
2. How to calculate the greatest common divisor of 112, 488, 954, 742?
We can find the highest common divisor of 112, 488, 954, 742 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 112, 488, 954, 742 i.e 2.
3. How can I use the GCD of 112, 488, 954, 742Calculator?
Out the numbers 112, 488, 954, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.