Online GCD Calculator is useful to find the GCD of 352, 200, 52, 675 quickly. Get the easiest ways to solve the greatest common divisor of 352, 200, 52, 675 i.e 1 in different methods as follows.
Given Input numbers are 352, 200, 52, 675
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (352, 200, 52, 675) = 1.
Given numbers are 352, 200, 52, 675
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 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 52 are 2 x 2 x 13
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 352, 200, 52, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 200) = 8800
GCD(352, 200) = ( 352 x 200 ) / 8800
= 352 / 200
= 352
Step2:
LCM(8, 52) = 104
GCD(8, 52) = ( 8 x 52 ) / 104
= 8 / 52
= 8
Step3:
LCM(4, 675) = 2700
GCD(4, 675) = ( 4 x 675 ) / 2700
= 4 / 675
= 4
So, Greatest Common Divisor of 352, 200, 52, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 200, 52, 675
The greatest common divisor of numbers 352, 200, 52, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 200, 52, 675 is 1.
1. What is the GCD of 352, 200, 52, 675?
GCD of given numbers 352, 200, 52, 675 is 1
2. How to calculate the greatest common divisor of 352, 200, 52, 675?
We can find the highest common divisor of 352, 200, 52, 675 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, 200, 52, 675 i.e 1.
3. How can I use the GCD of 352, 200, 52, 675Calculator?
Out the numbers 352, 200, 52, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.