Online GCD Calculator is useful to find the GCD of 378, 708, 568, 520 quickly. Get the easiest ways to solve the greatest common divisor of 378, 708, 568, 520 i.e 2 in different methods as follows.
Given Input numbers are 378, 708, 568, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (378, 708, 568, 520) = 2.
Given numbers are 378, 708, 568, 520
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 378, 708, 568, 520 is 2.
Given numbers are 378, 708, 568, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 708) = 44604
GCD(378, 708) = ( 378 x 708 ) / 44604
= 378 / 708
= 378
Step2:
LCM(6, 568) = 1704
GCD(6, 568) = ( 6 x 568 ) / 1704
= 6 / 568
= 6
Step3:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
So, Greatest Common Divisor of 378, 708, 568, 520 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 708, 568, 520
The greatest common divisor of numbers 378, 708, 568, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 708, 568, 520 is 2.
1. What is the GCD of 378, 708, 568, 520?
GCD of given numbers 378, 708, 568, 520 is 2
2. How to calculate the greatest common divisor of 378, 708, 568, 520?
We can find the highest common divisor of 378, 708, 568, 520 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 378, 708, 568, 520 i.e 2.
3. How can I use the GCD of 378, 708, 568, 520Calculator?
Out the numbers 378, 708, 568, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.