Online GCD Calculator is useful to find the GCD of 674, 904, 474, 938 quickly. Get the easiest ways to solve the greatest common divisor of 674, 904, 474, 938 i.e 2 in different methods as follows.
Given Input numbers are 674, 904, 474, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (674, 904, 474, 938) = 2.
Given numbers are 674, 904, 474, 938
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 474 are 2 x 3 x 79
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 674, 904, 474, 938 is 2.
Given numbers are 674, 904, 474, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 904) = 304648
GCD(674, 904) = ( 674 x 904 ) / 304648
= 674 / 904
= 674
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
= 2 / 938
= 2
So, Greatest Common Divisor of 674, 904, 474, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 904, 474, 938
The greatest common divisor of numbers 674, 904, 474, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 904, 474, 938 is 2.
1. What is the GCD of 674, 904, 474, 938?
GCD of given numbers 674, 904, 474, 938 is 2
2. How to calculate the greatest common divisor of 674, 904, 474, 938?
We can find the highest common divisor of 674, 904, 474, 938 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 674, 904, 474, 938 i.e 2.
3. How can I use the GCD of 674, 904, 474, 938Calculator?
Out the numbers 674, 904, 474, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.