GCD of 314, 271, 467, 488 Calculator

Given Input numbers are 314, 271, 467, 488

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

GCD of numbers is the greatest common divisor

So, the GCD (314, 271, 467, 488) = 1.

Given numbers are 314, 271, 467, 488

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 271 are 271

Prime factors of 467 are 467

Prime factors of 488 are 2 x 2 x 2 x 61

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

Given numbers are 314, 271, 467, 488

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

Apply this formula for all numbers.

Step1:

LCM(314, 271) = 85094

GCD(314, 271) = ( 314 x 271 ) / 85094

= 314 / 271

= 314

Step2:

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

= 1 / 467

= 1

Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1

So, Greatest Common Divisor of 314, 271, 467, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 670, 297, 920
• GCD of 365, 565, 618, 854
• GCD of 170, 263, 700, 264
• GCD of 491, 300, 322, 998
• GCD of 500, 160, 826, 433

Given numbers are 314, 271, 467, 488
The greatest common divisor of numbers 314, 271, 467, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 271, 467, 488 is 1.

1. What is the GCD of 314, 271, 467, 488?

GCD of given numbers 314, 271, 467, 488 is 1

2. How to calculate the greatest common divisor of 314, 271, 467, 488?

We can find the highest common divisor of 314, 271, 467, 488 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 314, 271, 467, 488 i.e 1.

3. How can I use the GCD of 314, 271, 467, 488Calculator?

Out the numbers 314, 271, 467, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.