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GCD of 680, 465, 195, 265 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 680, 465, 195, 265 with Factoring?

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.

Find GCD of 680, 465, 195, 265 using Prime Factorization

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.

Steps to Calculate GCD of 680, 465, 195, 265 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 465, 195, 265

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.

FAQs on GCD of 680, 465, 195, 265 Calculator

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.