Online GCD Calculator is useful to find the GCD of 875, 735, 195, 730 quickly. Get the easiest ways to solve the greatest common divisor of 875, 735, 195, 730 i.e 5 in different methods as follows.
Given Input numbers are 875, 735, 195, 730
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 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (875, 735, 195, 730) = 5.
Given numbers are 875, 735, 195, 730
The list of prime factors of all numbers are
Prime factors of 875 are 5 x 5 x 5 x 7
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 195 are 3 x 5 x 13
Prime factors of 730 are 2 x 5 x 73
The highest common occurrence is 51
Therefore, GCD of 875, 735, 195, 730 is 5.
Given numbers are 875, 735, 195, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(875, 735) = 18375
GCD(875, 735) = ( 875 x 735 ) / 18375
= 875 / 735
= 875
Step2:
LCM(35, 195) = 1365
GCD(35, 195) = ( 35 x 195 ) / 1365
= 35 / 195
= 35
Step3:
LCM(5, 730) = 730
GCD(5, 730) = ( 5 x 730 ) / 730
= 5 / 730
= 5
So, Greatest Common Divisor of 875, 735, 195, 730 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 875, 735, 195, 730
The greatest common divisor of numbers 875, 735, 195, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 735, 195, 730 is 5.
1. What is the GCD of 875, 735, 195, 730?
GCD of given numbers 875, 735, 195, 730 is 5
2. How to calculate the greatest common divisor of 875, 735, 195, 730?
We can find the highest common divisor of 875, 735, 195, 730 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, 735, 195, 730 i.e 5.
3. How can I use the GCD of 875, 735, 195, 730Calculator?
Out the numbers 875, 735, 195, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.