GCD of 706, 836, 494, 360 Calculator

Given Input numbers are 706, 836, 494, 360

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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

GCD of numbers is the greatest common divisor

So, the GCD (706, 836, 494, 360) = 2.

Given numbers are 706, 836, 494, 360

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 494 are 2 x 13 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 706, 836, 494, 360 is 2.

Given numbers are 706, 836, 494, 360

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

Apply this formula for all numbers.

Step1:

LCM(706, 836) = 295108

GCD(706, 836) = ( 706 x 836 ) / 295108

= 706 / 836

= 706

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 706, 836, 494, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 293, 705, 375
• GCD of 207, 876, 536, 833
• GCD of 810, 815, 770, 353
• GCD of 397, 267, 139, 184
• GCD of 758, 566, 341, 715

Given numbers are 706, 836, 494, 360
The greatest common divisor of numbers 706, 836, 494, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 836, 494, 360 is 2.

1. What is the GCD of 706, 836, 494, 360?

GCD of given numbers 706, 836, 494, 360 is 2

2. How to calculate the greatest common divisor of 706, 836, 494, 360?

We can find the highest common divisor of 706, 836, 494, 360 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 706, 836, 494, 360 i.e 2.

3. How can I use the GCD of 706, 836, 494, 360Calculator?

Out the numbers 706, 836, 494, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.