GCD of 310, 688, 299, 387 Calculator

Given Input numbers are 310, 688, 299, 387

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

Divisors of 310 :

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

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

GCD of numbers is the greatest common divisor

So, the GCD (310, 688, 299, 387) = 1.

Given numbers are 310, 688, 299, 387

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 299 are 13 x 23

Prime factors of 387 are 3 x 3 x 43

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

Given numbers are 310, 688, 299, 387

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

Apply this formula for all numbers.

Step1:

LCM(310, 688) = 106640

GCD(310, 688) = ( 310 x 688 ) / 106640

= 310 / 688

= 310

Step2:

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

= 2 / 299

= 2

Step3:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1

So, Greatest Common Divisor of 310, 688, 299, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 218, 145, 646
• GCD of 738, 352, 155, 502
• GCD of 285, 319, 488, 309
• GCD of 165, 413, 909, 997
• GCD of 298, 154, 198, 180

Given numbers are 310, 688, 299, 387
The greatest common divisor of numbers 310, 688, 299, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 688, 299, 387 is 1.

1. What is the GCD of 310, 688, 299, 387?

GCD of given numbers 310, 688, 299, 387 is 1

2. How to calculate the greatest common divisor of 310, 688, 299, 387?

We can find the highest common divisor of 310, 688, 299, 387 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 310, 688, 299, 387 i.e 1.

3. How can I use the GCD of 310, 688, 299, 387Calculator?

Out the numbers 310, 688, 299, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.