Online GCD Calculator is useful to find the GCD of 374, 314, 260, 825 quickly. Get the easiest ways to solve the greatest common divisor of 374, 314, 260, 825 i.e 1 in different methods as follows.
Given Input numbers are 374, 314, 260, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (374, 314, 260, 825) = 1.
Given numbers are 374, 314, 260, 825
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 314 are 2 x 157
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 374, 314, 260, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 314) = 58718
GCD(374, 314) = ( 374 x 314 ) / 58718
= 374 / 314
= 374
Step2:
LCM(2, 260) = 260
GCD(2, 260) = ( 2 x 260 ) / 260
= 2 / 260
= 2
Step3:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 374, 314, 260, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 374, 314, 260, 825
The greatest common divisor of numbers 374, 314, 260, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 314, 260, 825 is 1.
1. What is the GCD of 374, 314, 260, 825?
GCD of given numbers 374, 314, 260, 825 is 1
2. How to calculate the greatest common divisor of 374, 314, 260, 825?
We can find the highest common divisor of 374, 314, 260, 825 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 374, 314, 260, 825 i.e 1.
3. How can I use the GCD of 374, 314, 260, 825Calculator?
Out the numbers 374, 314, 260, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.