GCD of 391, 272, 680 Calculator

Given Input numbers are 391, 272, 680

In the factoring method, we have to find the divisors of all numbers

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

GCD of numbers is the greatest common divisor

So, the GCD (391, 272, 680) = 17.

Given numbers are 391, 272, 680

The list of prime factors of all numbers are

Prime factors of 391 are 17 x 23

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 17¹

Therefore, GCD of 391, 272, 680 is 17.

Given numbers are 391, 272, 680

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

Apply this formula for all numbers.

Step1:

LCM(391, 272) = 6256

GCD(391, 272) = ( 391 x 272 ) / 6256

= 391 / 272

= 391

Step2:

LCM(17, 680) = 680

GCD(17, 680) = ( 17 x 680 ) / 680

= 17 / 680

= 17

So, Greatest Common Divisor of 391, 272, 680 is 17

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 802, 319
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Given numbers are 391, 272, 680
The greatest common divisor of numbers 391, 272, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 391, 272, 680 is 17.

1. What is the GCD of 391, 272, 680?

GCD of given numbers 391, 272, 680 is 17

2. How to calculate the greatest common divisor of 391, 272, 680?

We can find the highest common divisor of 391, 272, 680 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 391, 272, 680 i.e 17.

3. How can I use the GCD of 391, 272, 680Calculator?

Out the numbers 391, 272, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.