Online GCD Calculator is useful to find the GCD of 708, 340, 412, 374 quickly. Get the easiest ways to solve the greatest common divisor of 708, 340, 412, 374 i.e 2 in different methods as follows.
Given Input numbers are 708, 340, 412, 374
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (708, 340, 412, 374) = 2.
Given numbers are 708, 340, 412, 374
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 412 are 2 x 2 x 103
Prime factors of 374 are 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 708, 340, 412, 374 is 2.
Given numbers are 708, 340, 412, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 340) = 60180
GCD(708, 340) = ( 708 x 340 ) / 60180
= 708 / 340
= 708
Step2:
LCM(4, 412) = 412
GCD(4, 412) = ( 4 x 412 ) / 412
= 4 / 412
= 4
Step3:
LCM(4, 374) = 748
GCD(4, 374) = ( 4 x 374 ) / 748
= 4 / 374
= 4
So, Greatest Common Divisor of 708, 340, 412, 374 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 340, 412, 374
The greatest common divisor of numbers 708, 340, 412, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 340, 412, 374 is 2.
1. What is the GCD of 708, 340, 412, 374?
GCD of given numbers 708, 340, 412, 374 is 2
2. How to calculate the greatest common divisor of 708, 340, 412, 374?
We can find the highest common divisor of 708, 340, 412, 374 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, 340, 412, 374 i.e 2.
3. How can I use the GCD of 708, 340, 412, 374Calculator?
Out the numbers 708, 340, 412, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.