GCD of 686, 360, 644, 696 Calculator

Given Input numbers are 686, 360, 644, 696

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (686, 360, 644, 696) = 2.

Given numbers are 686, 360, 644, 696

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 686, 360, 644, 696 is 2.

Given numbers are 686, 360, 644, 696

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

Apply this formula for all numbers.

Step1:

LCM(686, 360) = 123480

GCD(686, 360) = ( 686 x 360 ) / 123480

= 686 / 360

= 686

Step2:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 686, 360, 644, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 755, 372, 396
• GCD of 415, 711, 223, 210
• GCD of 176, 763, 304, 825
• GCD of 747, 563, 177, 532
• GCD of 851, 710, 382, 489

Given numbers are 686, 360, 644, 696
The greatest common divisor of numbers 686, 360, 644, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 360, 644, 696 is 2.

1. What is the GCD of 686, 360, 644, 696?

GCD of given numbers 686, 360, 644, 696 is 2

2. How to calculate the greatest common divisor of 686, 360, 644, 696?

We can find the highest common divisor of 686, 360, 644, 696 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, 360, 644, 696 i.e 2.

3. How can I use the GCD of 686, 360, 644, 696Calculator?

Out the numbers 686, 360, 644, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.