Online GCD Calculator is useful to find the GCD of 680, 465, 195, 265 quickly. Get the easiest ways to solve the greatest common divisor of 680, 465, 195, 265 i.e 5 in different methods as follows.
Given Input numbers are 680, 465, 195, 265
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
GCD of numbers is the greatest common divisor
So, the GCD (680, 465, 195, 265) = 5.
Given numbers are 680, 465, 195, 265
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 465 are 3 x 5 x 31
Prime factors of 195 are 3 x 5 x 13
Prime factors of 265 are 5 x 53
The highest common occurrence is 51
Therefore, GCD of 680, 465, 195, 265 is 5.
Given numbers are 680, 465, 195, 265
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 465) = 63240
GCD(680, 465) = ( 680 x 465 ) / 63240
= 680 / 465
= 680
Step2:
LCM(5, 195) = 195
GCD(5, 195) = ( 5 x 195 ) / 195
= 5 / 195
= 5
Step3:
LCM(5, 265) = 265
GCD(5, 265) = ( 5 x 265 ) / 265
= 5 / 265
= 5
So, Greatest Common Divisor of 680, 465, 195, 265 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 465, 195, 265
The greatest common divisor of numbers 680, 465, 195, 265 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 465, 195, 265 is 5.
1. What is the GCD of 680, 465, 195, 265?
GCD of given numbers 680, 465, 195, 265 is 5
2. How to calculate the greatest common divisor of 680, 465, 195, 265?
We can find the highest common divisor of 680, 465, 195, 265 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 680, 465, 195, 265 i.e 5.
3. How can I use the GCD of 680, 465, 195, 265Calculator?
Out the numbers 680, 465, 195, 265 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.