Online GCD Calculator is useful to find the GCD of 494, 274, 744, 994 quickly. Get the easiest ways to solve the greatest common divisor of 494, 274, 744, 994 i.e 2 in different methods as follows.
Given Input numbers are 494, 274, 744, 994
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (494, 274, 744, 994) = 2.
Given numbers are 494, 274, 744, 994
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 274 are 2 x 137
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 994 are 2 x 7 x 71
The highest common occurrence is 21
Therefore, GCD of 494, 274, 744, 994 is 2.
Given numbers are 494, 274, 744, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 274) = 67678
GCD(494, 274) = ( 494 x 274 ) / 67678
= 494 / 274
= 494
Step2:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
Step3:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
So, Greatest Common Divisor of 494, 274, 744, 994 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 274, 744, 994
The greatest common divisor of numbers 494, 274, 744, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 274, 744, 994 is 2.
1. What is the GCD of 494, 274, 744, 994?
GCD of given numbers 494, 274, 744, 994 is 2
2. How to calculate the greatest common divisor of 494, 274, 744, 994?
We can find the highest common divisor of 494, 274, 744, 994 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 494, 274, 744, 994 i.e 2.
3. How can I use the GCD of 494, 274, 744, 994Calculator?
Out the numbers 494, 274, 744, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.