Online GCD Calculator is useful to find the GCD of 375, 156, 614, 109 quickly. Get the easiest ways to solve the greatest common divisor of 375, 156, 614, 109 i.e 1 in different methods as follows.
Given Input numbers are 375, 156, 614, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (375, 156, 614, 109) = 1.
Given numbers are 375, 156, 614, 109
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 614 are 2 x 307
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 375, 156, 614, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 156) = 19500
GCD(375, 156) = ( 375 x 156 ) / 19500
= 375 / 156
= 375
Step2:
LCM(3, 614) = 1842
GCD(3, 614) = ( 3 x 614 ) / 1842
= 3 / 614
= 3
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 375, 156, 614, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 156, 614, 109
The greatest common divisor of numbers 375, 156, 614, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 156, 614, 109 is 1.
1. What is the GCD of 375, 156, 614, 109?
GCD of given numbers 375, 156, 614, 109 is 1
2. How to calculate the greatest common divisor of 375, 156, 614, 109?
We can find the highest common divisor of 375, 156, 614, 109 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 375, 156, 614, 109 i.e 1.
3. How can I use the GCD of 375, 156, 614, 109Calculator?
Out the numbers 375, 156, 614, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.