GCD of 501, 311, 764, 289 Calculator

Given Input numbers are 501, 311, 764, 289

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 311 :

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

1, 311

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (501, 311, 764, 289) = 1.

Given numbers are 501, 311, 764, 289

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 311 are 311

Prime factors of 764 are 2 x 2 x 191

Prime factors of 289 are 17 x 17

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

Given numbers are 501, 311, 764, 289

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

Apply this formula for all numbers.

Step1:

LCM(501, 311) = 155811

GCD(501, 311) = ( 501 x 311 ) / 155811

= 501 / 311

= 501

Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 501, 311, 764, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 532, 520, 514
• GCD of 163, 630, 778, 427
• GCD of 811, 454, 341, 661
• GCD of 824, 700, 221, 534
• GCD of 675, 156, 784, 756

Given numbers are 501, 311, 764, 289
The greatest common divisor of numbers 501, 311, 764, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 311, 764, 289 is 1.

1. What is the GCD of 501, 311, 764, 289?

GCD of given numbers 501, 311, 764, 289 is 1

2. How to calculate the greatest common divisor of 501, 311, 764, 289?

We can find the highest common divisor of 501, 311, 764, 289 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 501, 311, 764, 289 i.e 1.

3. How can I use the GCD of 501, 311, 764, 289Calculator?

Out the numbers 501, 311, 764, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.