GCD of 680, 720, 283, 310 Calculator

Given Input numbers are 680, 720, 283, 310

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 283 :

The positive integer divisors of 283 that completely divides 283 are.

1, 283

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (680, 720, 283, 310) = 1.

Given numbers are 680, 720, 283, 310

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 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 283 are 283

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 680, 720, 283, 310

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

Apply this formula for all numbers.

Step1:

LCM(680, 720) = 12240

GCD(680, 720) = ( 680 x 720 ) / 12240

= 680 / 720

= 680

Step2:

LCM(40, 283) = 11320

GCD(40, 283) = ( 40 x 283 ) / 11320

= 40 / 283

= 40

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 680, 720, 283, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 880, 478, 802
• GCD of 184, 181, 913, 840
• GCD of 948, 596, 700, 740
• GCD of 936, 429, 949, 256
• GCD of 476, 331, 724, 954

Given numbers are 680, 720, 283, 310
The greatest common divisor of numbers 680, 720, 283, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 720, 283, 310 is 1.

1. What is the GCD of 680, 720, 283, 310?

GCD of given numbers 680, 720, 283, 310 is 1

2. How to calculate the greatest common divisor of 680, 720, 283, 310?

We can find the highest common divisor of 680, 720, 283, 310 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, 720, 283, 310 i.e 1.

3. How can I use the GCD of 680, 720, 283, 310Calculator?

Out the numbers 680, 720, 283, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.