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GCD of 680, 315, 461, 909 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, 315, 461, 909 quickly. Get the easiest ways to solve the greatest common divisor of 680, 315, 461, 909 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 680, 315, 461, 909 with Factoring?

Given Input numbers are 680, 315, 461, 909

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909


GCD of numbers is the greatest common divisor

So, the GCD (680, 315, 461, 909) = 1.

Find GCD of 680, 315, 461, 909 using Prime Factorization

Given numbers are 680, 315, 461, 909

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 315 are 3 x 3 x 5 x 7

Prime factors of 461 are 461

Prime factors of 909 are 3 x 3 x 101

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 680, 315, 461, 909 using LCM Formula

Given numbers are 680, 315, 461, 909

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(680, 315) = 42840

GCD(680, 315) = ( 680 x 315 ) / 42840

= 680 / 315

= 680


Step2:

LCM(5, 461) = 2305

GCD(5, 461) = ( 5 x 461 ) / 2305

= 5 / 461

= 5


Step3:

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

= 1 / 909

= 1


So, Greatest Common Divisor of 680, 315, 461, 909 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 315, 461, 909

Given numbers are 680, 315, 461, 909
The greatest common divisor of numbers 680, 315, 461, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 315, 461, 909 is 1.

FAQs on GCD of 680, 315, 461, 909 Calculator

1. What is the GCD of 680, 315, 461, 909?

GCD of given numbers 680, 315, 461, 909 is 1


2. How to calculate the greatest common divisor of 680, 315, 461, 909?

We can find the highest common divisor of 680, 315, 461, 909 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, 315, 461, 909 i.e 1.


3. How can I use the GCD of 680, 315, 461, 909Calculator?

Out the numbers 680, 315, 461, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.