Online GCD Calculator is useful to find the GCD of 316, 290, 775, 825 quickly. Get the easiest ways to solve the greatest common divisor of 316, 290, 775, 825 i.e 1 in different methods as follows.
Given Input numbers are 316, 290, 775, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
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 (316, 290, 775, 825) = 1.
Given numbers are 316, 290, 775, 825
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 290 are 2 x 5 x 29
Prime factors of 775 are 5 x 5 x 31
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 316, 290, 775, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 290) = 45820
GCD(316, 290) = ( 316 x 290 ) / 45820
= 316 / 290
= 316
Step2:
LCM(2, 775) = 1550
GCD(2, 775) = ( 2 x 775 ) / 1550
= 2 / 775
= 2
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 316, 290, 775, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 290, 775, 825
The greatest common divisor of numbers 316, 290, 775, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 290, 775, 825 is 1.
1. What is the GCD of 316, 290, 775, 825?
GCD of given numbers 316, 290, 775, 825 is 1
2. How to calculate the greatest common divisor of 316, 290, 775, 825?
We can find the highest common divisor of 316, 290, 775, 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 316, 290, 775, 825 i.e 1.
3. How can I use the GCD of 316, 290, 775, 825Calculator?
Out the numbers 316, 290, 775, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.