Online GCD Calculator is useful to find the GCD of 974, 944, 732, 494 quickly. Get the easiest ways to solve the greatest common divisor of 974, 944, 732, 494 i.e 2 in different methods as follows.
Given Input numbers are 974, 944, 732, 494
In the factoring method, we have to find the divisors of all numbers
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
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 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
GCD of numbers is the greatest common divisor
So, the GCD (974, 944, 732, 494) = 2.
Given numbers are 974, 944, 732, 494
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 494 are 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 974, 944, 732, 494 is 2.
Given numbers are 974, 944, 732, 494
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 944) = 459728
GCD(974, 944) = ( 974 x 944 ) / 459728
= 974 / 944
= 974
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
= 2 / 494
= 2
So, Greatest Common Divisor of 974, 944, 732, 494 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 974, 944, 732, 494
The greatest common divisor of numbers 974, 944, 732, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 944, 732, 494 is 2.
1. What is the GCD of 974, 944, 732, 494?
GCD of given numbers 974, 944, 732, 494 is 2
2. How to calculate the greatest common divisor of 974, 944, 732, 494?
We can find the highest common divisor of 974, 944, 732, 494 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 974, 944, 732, 494 i.e 2.
3. How can I use the GCD of 974, 944, 732, 494Calculator?
Out the numbers 974, 944, 732, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.