Online GCD Calculator is useful to find the GCD of 875, 690, 258, 825 quickly. Get the easiest ways to solve the greatest common divisor of 875, 690, 258, 825 i.e 1 in different methods as follows.
Given Input numbers are 875, 690, 258, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
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 (875, 690, 258, 825) = 1.
Given numbers are 875, 690, 258, 825
The list of prime factors of all numbers are
Prime factors of 875 are 5 x 5 x 5 x 7
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 258 are 2 x 3 x 43
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 875, 690, 258, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(875, 690) = 120750
GCD(875, 690) = ( 875 x 690 ) / 120750
= 875 / 690
= 875
Step2:
LCM(5, 258) = 1290
GCD(5, 258) = ( 5 x 258 ) / 1290
= 5 / 258
= 5
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 875, 690, 258, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 875, 690, 258, 825
The greatest common divisor of numbers 875, 690, 258, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 690, 258, 825 is 1.
1. What is the GCD of 875, 690, 258, 825?
GCD of given numbers 875, 690, 258, 825 is 1
2. How to calculate the greatest common divisor of 875, 690, 258, 825?
We can find the highest common divisor of 875, 690, 258, 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 875, 690, 258, 825 i.e 1.
3. How can I use the GCD of 875, 690, 258, 825Calculator?
Out the numbers 875, 690, 258, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.