Online GCD Calculator is useful to find the GCD of 325, 410, 700, 875 quickly. Get the easiest ways to solve the greatest common divisor of 325, 410, 700, 875 i.e 5 in different methods as follows.
Given Input numbers are 325, 410, 700, 875
In the factoring method, we have to find the divisors of all numbers
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 410 :
The positive integer divisors of 410 that completely divides 410 are.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
GCD of numbers is the greatest common divisor
So, the GCD (325, 410, 700, 875) = 5.
Given numbers are 325, 410, 700, 875
The list of prime factors of all numbers are
Prime factors of 325 are 5 x 5 x 13
Prime factors of 410 are 2 x 5 x 41
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 875 are 5 x 5 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 325, 410, 700, 875 is 5.
Given numbers are 325, 410, 700, 875
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(325, 410) = 26650
GCD(325, 410) = ( 325 x 410 ) / 26650
= 325 / 410
= 325
Step2:
LCM(5, 700) = 700
GCD(5, 700) = ( 5 x 700 ) / 700
= 5 / 700
= 5
Step3:
LCM(5, 875) = 875
GCD(5, 875) = ( 5 x 875 ) / 875
= 5 / 875
= 5
So, Greatest Common Divisor of 325, 410, 700, 875 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 325, 410, 700, 875
The greatest common divisor of numbers 325, 410, 700, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 410, 700, 875 is 5.
1. What is the GCD of 325, 410, 700, 875?
GCD of given numbers 325, 410, 700, 875 is 5
2. How to calculate the greatest common divisor of 325, 410, 700, 875?
We can find the highest common divisor of 325, 410, 700, 875 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 325, 410, 700, 875 i.e 5.
3. How can I use the GCD of 325, 410, 700, 875Calculator?
Out the numbers 325, 410, 700, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.