Online GCD Calculator is useful to find the GCD of 742, 296, 804, 992 quickly. Get the easiest ways to solve the greatest common divisor of 742, 296, 804, 992 i.e 2 in different methods as follows.
Given Input numbers are 742, 296, 804, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (742, 296, 804, 992) = 2.
Given numbers are 742, 296, 804, 992
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 742, 296, 804, 992 is 2.
Given numbers are 742, 296, 804, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 296) = 109816
GCD(742, 296) = ( 742 x 296 ) / 109816
= 742 / 296
= 742
Step2:
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
= 2 / 804
= 2
Step3:
LCM(2, 992) = 992
GCD(2, 992) = ( 2 x 992 ) / 992
= 2 / 992
= 2
So, Greatest Common Divisor of 742, 296, 804, 992 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 296, 804, 992
The greatest common divisor of numbers 742, 296, 804, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 296, 804, 992 is 2.
1. What is the GCD of 742, 296, 804, 992?
GCD of given numbers 742, 296, 804, 992 is 2
2. How to calculate the greatest common divisor of 742, 296, 804, 992?
We can find the highest common divisor of 742, 296, 804, 992 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 742, 296, 804, 992 i.e 2.
3. How can I use the GCD of 742, 296, 804, 992Calculator?
Out the numbers 742, 296, 804, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.