Online GCD Calculator is useful to find the GCD of 676, 174, 382, 674 quickly. Get the easiest ways to solve the greatest common divisor of 676, 174, 382, 674 i.e 2 in different methods as follows.
Given Input numbers are 676, 174, 382, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
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 (676, 174, 382, 674) = 2.
Given numbers are 676, 174, 382, 674
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 174 are 2 x 3 x 29
Prime factors of 382 are 2 x 191
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 676, 174, 382, 674 is 2.
Given numbers are 676, 174, 382, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 174) = 58812
GCD(676, 174) = ( 676 x 174 ) / 58812
= 676 / 174
= 676
Step2:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
Step3:
LCM(2, 674) = 674
GCD(2, 674) = ( 2 x 674 ) / 674
= 2 / 674
= 2
So, Greatest Common Divisor of 676, 174, 382, 674 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 174, 382, 674
The greatest common divisor of numbers 676, 174, 382, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 174, 382, 674 is 2.
1. What is the GCD of 676, 174, 382, 674?
GCD of given numbers 676, 174, 382, 674 is 2
2. How to calculate the greatest common divisor of 676, 174, 382, 674?
We can find the highest common divisor of 676, 174, 382, 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 676, 174, 382, 674 i.e 2.
3. How can I use the GCD of 676, 174, 382, 674Calculator?
Out the numbers 676, 174, 382, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.