GCD of 311, 701, 314, 508 Calculator

Given Input numbers are 311, 701, 314, 508

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

Divisors of 311 :

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

1, 311

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (311, 701, 314, 508) = 1.

Given numbers are 311, 701, 314, 508

The list of prime factors of all numbers are

Prime factors of 311 are 311

Prime factors of 701 are 701

Prime factors of 314 are 2 x 157

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 311, 701, 314, 508

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

Apply this formula for all numbers.

Step1:

LCM(311, 701) = 218011

GCD(311, 701) = ( 311 x 701 ) / 218011

= 311 / 701

= 311

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 311, 701, 314, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 235, 907, 352
• GCD of 613, 776, 967, 724
• GCD of 118, 695, 370, 965
• GCD of 227, 739, 384, 534
• GCD of 156, 138, 752, 772

Given numbers are 311, 701, 314, 508
The greatest common divisor of numbers 311, 701, 314, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 701, 314, 508 is 1.

1. What is the GCD of 311, 701, 314, 508?

GCD of given numbers 311, 701, 314, 508 is 1

2. How to calculate the greatest common divisor of 311, 701, 314, 508?

We can find the highest common divisor of 311, 701, 314, 508 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 311, 701, 314, 508 i.e 1.

3. How can I use the GCD of 311, 701, 314, 508Calculator?

Out the numbers 311, 701, 314, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.