Online GCD Calculator is useful to find the GCD of 126, 604, 686, 674 quickly. Get the easiest ways to solve the greatest common divisor of 126, 604, 686, 674 i.e 2 in different methods as follows.
Given Input numbers are 126, 604, 686, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (126, 604, 686, 674) = 2.
Given numbers are 126, 604, 686, 674
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 604 are 2 x 2 x 151
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 126, 604, 686, 674 is 2.
Given numbers are 126, 604, 686, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 604) = 38052
GCD(126, 604) = ( 126 x 604 ) / 38052
= 126 / 604
= 126
Step2:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
Step3:
LCM(2, 674) = 674
GCD(2, 674) = ( 2 x 674 ) / 674
= 2 / 674
= 2
So, Greatest Common Divisor of 126, 604, 686, 674 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 604, 686, 674
The greatest common divisor of numbers 126, 604, 686, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 604, 686, 674 is 2.
1. What is the GCD of 126, 604, 686, 674?
GCD of given numbers 126, 604, 686, 674 is 2
2. How to calculate the greatest common divisor of 126, 604, 686, 674?
We can find the highest common divisor of 126, 604, 686, 674 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 126, 604, 686, 674 i.e 2.
3. How can I use the GCD of 126, 604, 686, 674Calculator?
Out the numbers 126, 604, 686, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.