GCD of 105, 502, 313, 686 Calculator

Given Input numbers are 105, 502, 313, 686

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 502 :

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

1, 2, 251, 502

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (105, 502, 313, 686) = 1.

Given numbers are 105, 502, 313, 686

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 502 are 2 x 251

Prime factors of 313 are 313

Prime factors of 686 are 2 x 7 x 7 x 7

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

Given numbers are 105, 502, 313, 686

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

Apply this formula for all numbers.

Step1:

LCM(105, 502) = 52710

GCD(105, 502) = ( 105 x 502 ) / 52710

= 105 / 502

= 105

Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

So, Greatest Common Divisor of 105, 502, 313, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 327, 952, 622
• GCD of 680, 726, 187, 811
• GCD of 448, 294, 481, 373
• GCD of 244, 686, 718, 763
• GCD of 180, 145, 356, 648

Given numbers are 105, 502, 313, 686
The greatest common divisor of numbers 105, 502, 313, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 502, 313, 686 is 1.

1. What is the GCD of 105, 502, 313, 686?

GCD of given numbers 105, 502, 313, 686 is 1

2. How to calculate the greatest common divisor of 105, 502, 313, 686?

We can find the highest common divisor of 105, 502, 313, 686 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 105, 502, 313, 686 i.e 1.

3. How can I use the GCD of 105, 502, 313, 686Calculator?

Out the numbers 105, 502, 313, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.