Online GCD Calculator is useful to find the GCD of 674, 428, 694, 306 quickly. Get the easiest ways to solve the greatest common divisor of 674, 428, 694, 306 i.e 2 in different methods as follows.
Given Input numbers are 674, 428, 694, 306
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (674, 428, 694, 306) = 2.
Given numbers are 674, 428, 694, 306
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 428 are 2 x 2 x 107
Prime factors of 694 are 2 x 347
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 674, 428, 694, 306 is 2.
Given numbers are 674, 428, 694, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 428) = 144236
GCD(674, 428) = ( 674 x 428 ) / 144236
= 674 / 428
= 674
Step2:
LCM(2, 694) = 694
GCD(2, 694) = ( 2 x 694 ) / 694
= 2 / 694
= 2
Step3:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
So, Greatest Common Divisor of 674, 428, 694, 306 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 428, 694, 306
The greatest common divisor of numbers 674, 428, 694, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 428, 694, 306 is 2.
1. What is the GCD of 674, 428, 694, 306?
GCD of given numbers 674, 428, 694, 306 is 2
2. How to calculate the greatest common divisor of 674, 428, 694, 306?
We can find the highest common divisor of 674, 428, 694, 306 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, 428, 694, 306 i.e 2.
3. How can I use the GCD of 674, 428, 694, 306Calculator?
Out the numbers 674, 428, 694, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.