Online GCD Calculator is useful to find the GCD of 342, 225, 375, 832 quickly. Get the easiest ways to solve the greatest common divisor of 342, 225, 375, 832 i.e 1 in different methods as follows.
Given Input numbers are 342, 225, 375, 832
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
GCD of numbers is the greatest common divisor
So, the GCD (342, 225, 375, 832) = 1.
Given numbers are 342, 225, 375, 832
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 225, 375, 832
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 225) = 8550
GCD(342, 225) = ( 342 x 225 ) / 8550
= 342 / 225
= 342
Step2:
LCM(9, 375) = 1125
GCD(9, 375) = ( 9 x 375 ) / 1125
= 9 / 375
= 9
Step3:
LCM(3, 832) = 2496
GCD(3, 832) = ( 3 x 832 ) / 2496
= 3 / 832
= 3
So, Greatest Common Divisor of 342, 225, 375, 832 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 225, 375, 832
The greatest common divisor of numbers 342, 225, 375, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 225, 375, 832 is 1.
1. What is the GCD of 342, 225, 375, 832?
GCD of given numbers 342, 225, 375, 832 is 1
2. How to calculate the greatest common divisor of 342, 225, 375, 832?
We can find the highest common divisor of 342, 225, 375, 832 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 342, 225, 375, 832 i.e 1.
3. How can I use the GCD of 342, 225, 375, 832Calculator?
Out the numbers 342, 225, 375, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.