Online GCD Calculator is useful to find the GCD of 352, 684, 380, 668 quickly. Get the easiest ways to solve the greatest common divisor of 352, 684, 380, 668 i.e 4 in different methods as follows.
Given Input numbers are 352, 684, 380, 668
In the factoring method, we have to find the divisors of all numbers
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
GCD of numbers is the greatest common divisor
So, the GCD (352, 684, 380, 668) = 4.
Given numbers are 352, 684, 380, 668
The list of prime factors of all numbers are
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 668 are 2 x 2 x 167
The highest common occurrence is 22
Therefore, GCD of 352, 684, 380, 668 is 4.
Given numbers are 352, 684, 380, 668
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 684) = 60192
GCD(352, 684) = ( 352 x 684 ) / 60192
= 352 / 684
= 352
Step2:
LCM(4, 380) = 380
GCD(4, 380) = ( 4 x 380 ) / 380
= 4 / 380
= 4
Step3:
LCM(4, 668) = 668
GCD(4, 668) = ( 4 x 668 ) / 668
= 4 / 668
= 4
So, Greatest Common Divisor of 352, 684, 380, 668 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 684, 380, 668
The greatest common divisor of numbers 352, 684, 380, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 684, 380, 668 is 4.
1. What is the GCD of 352, 684, 380, 668?
GCD of given numbers 352, 684, 380, 668 is 4
2. How to calculate the greatest common divisor of 352, 684, 380, 668?
We can find the highest common divisor of 352, 684, 380, 668 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 352, 684, 380, 668 i.e 4.
3. How can I use the GCD of 352, 684, 380, 668Calculator?
Out the numbers 352, 684, 380, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.