GCD of 686, 278, 660, 310 Calculator

Given Input numbers are 686, 278, 660, 310

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

Divisors of 686 :

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

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

Divisors of 278 :

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

1, 2, 139, 278

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 310 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (686, 278, 660, 310) = 2.

Given numbers are 686, 278, 660, 310

The list of prime factors of all numbers are

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

Prime factors of 278 are 2 x 139

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 686, 278, 660, 310 is 2.

Given numbers are 686, 278, 660, 310

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

Apply this formula for all numbers.

Step1:

LCM(686, 278) = 95354

GCD(686, 278) = ( 686 x 278 ) / 95354

= 686 / 278

= 686

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 686, 278, 660, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 875, 451, 723
• GCD of 143, 296, 758, 455
• GCD of 888, 129, 527, 924
• GCD of 643, 205, 193, 211
• GCD of 567, 936, 268, 212

Given numbers are 686, 278, 660, 310
The greatest common divisor of numbers 686, 278, 660, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 278, 660, 310 is 2.

1. What is the GCD of 686, 278, 660, 310?

GCD of given numbers 686, 278, 660, 310 is 2

2. How to calculate the greatest common divisor of 686, 278, 660, 310?

We can find the highest common divisor of 686, 278, 660, 310 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 686, 278, 660, 310 i.e 2.

3. How can I use the GCD of 686, 278, 660, 310Calculator?

Out the numbers 686, 278, 660, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.