GCD of 502, 310, 289, 278 Calculator

Given Input numbers are 502, 310, 289, 278

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 310 :

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

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

Divisors of 289 :

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

1, 17, 289

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (502, 310, 289, 278) = 1.

Given numbers are 502, 310, 289, 278

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 310 are 2 x 5 x 31

Prime factors of 289 are 17 x 17

Prime factors of 278 are 2 x 139

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

Given numbers are 502, 310, 289, 278

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

Apply this formula for all numbers.

Step1:

LCM(502, 310) = 77810

GCD(502, 310) = ( 502 x 310 ) / 77810

= 502 / 310

= 502

Step2:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

Step3:

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

= 1 / 278

= 1

So, Greatest Common Divisor of 502, 310, 289, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 746, 810, 859
• GCD of 227, 111, 780, 800
• GCD of 687, 340, 313, 101
• GCD of 227, 349, 104, 754
• GCD of 896, 323, 829, 613

Given numbers are 502, 310, 289, 278
The greatest common divisor of numbers 502, 310, 289, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 310, 289, 278 is 1.

1. What is the GCD of 502, 310, 289, 278?

GCD of given numbers 502, 310, 289, 278 is 1

2. How to calculate the greatest common divisor of 502, 310, 289, 278?

We can find the highest common divisor of 502, 310, 289, 278 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 502, 310, 289, 278 i.e 1.

3. How can I use the GCD of 502, 310, 289, 278Calculator?

Out the numbers 502, 310, 289, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.