Online GCD Calculator is useful to find the GCD of 378, 276, 596, 680 quickly. Get the easiest ways to solve the greatest common divisor of 378, 276, 596, 680 i.e 2 in different methods as follows.
Given Input numbers are 378, 276, 596, 680
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 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (378, 276, 596, 680) = 2.
Given numbers are 378, 276, 596, 680
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 276 are 2 x 2 x 3 x 23
Prime factors of 596 are 2 x 2 x 149
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 378, 276, 596, 680 is 2.
Given numbers are 378, 276, 596, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 276) = 17388
GCD(378, 276) = ( 378 x 276 ) / 17388
= 378 / 276
= 378
Step2:
LCM(6, 596) = 1788
GCD(6, 596) = ( 6 x 596 ) / 1788
= 6 / 596
= 6
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 378, 276, 596, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 276, 596, 680
The greatest common divisor of numbers 378, 276, 596, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 276, 596, 680 is 2.
1. What is the GCD of 378, 276, 596, 680?
GCD of given numbers 378, 276, 596, 680 is 2
2. How to calculate the greatest common divisor of 378, 276, 596, 680?
We can find the highest common divisor of 378, 276, 596, 680 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, 276, 596, 680 i.e 2.
3. How can I use the GCD of 378, 276, 596, 680Calculator?
Out the numbers 378, 276, 596, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.