Online GCD Calculator is useful to find the GCD of 708, 644, 674, 438 quickly. Get the easiest ways to solve the greatest common divisor of 708, 644, 674, 438 i.e 2 in different methods as follows.
Given Input numbers are 708, 644, 674, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (708, 644, 674, 438) = 2.
Given numbers are 708, 644, 674, 438
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 674 are 2 x 337
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 708, 644, 674, 438 is 2.
Given numbers are 708, 644, 674, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 644) = 113988
GCD(708, 644) = ( 708 x 644 ) / 113988
= 708 / 644
= 708
Step2:
LCM(4, 674) = 1348
GCD(4, 674) = ( 4 x 674 ) / 1348
= 4 / 674
= 4
Step3:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 708, 644, 674, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 644, 674, 438
The greatest common divisor of numbers 708, 644, 674, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 644, 674, 438 is 2.
1. What is the GCD of 708, 644, 674, 438?
GCD of given numbers 708, 644, 674, 438 is 2
2. How to calculate the greatest common divisor of 708, 644, 674, 438?
We can find the highest common divisor of 708, 644, 674, 438 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 708, 644, 674, 438 i.e 2.
3. How can I use the GCD of 708, 644, 674, 438Calculator?
Out the numbers 708, 644, 674, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.