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GCD of 680, 372, 360, 311 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, 372, 360, 311 quickly. Get the easiest ways to solve the greatest common divisor of 680, 372, 360, 311 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 680, 372, 360, 311 with Factoring?

Given Input numbers are 680, 372, 360, 311

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311


GCD of numbers is the greatest common divisor

So, the GCD (680, 372, 360, 311) = 1.

Find GCD of 680, 372, 360, 311 using Prime Factorization

Given numbers are 680, 372, 360, 311

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 372 are 2 x 2 x 3 x 31

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 311 are 311

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

Steps to Calculate GCD of 680, 372, 360, 311 using LCM Formula

Given numbers are 680, 372, 360, 311

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

Apply this formula for all numbers.

Step1:

LCM(680, 372) = 63240

GCD(680, 372) = ( 680 x 372 ) / 63240

= 680 / 372

= 680


Step2:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4


Step3:

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

= 4 / 311

= 4


So, Greatest Common Divisor of 680, 372, 360, 311 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 372, 360, 311

Given numbers are 680, 372, 360, 311
The greatest common divisor of numbers 680, 372, 360, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 372, 360, 311 is 1.

FAQs on GCD of 680, 372, 360, 311 Calculator

1. What is the GCD of 680, 372, 360, 311?

GCD of given numbers 680, 372, 360, 311 is 1


2. How to calculate the greatest common divisor of 680, 372, 360, 311?

We can find the highest common divisor of 680, 372, 360, 311 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, 372, 360, 311 i.e 1.


3. How can I use the GCD of 680, 372, 360, 311Calculator?

Out the numbers 680, 372, 360, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.