GCD of 696, 724, 494, 480 Calculator

Given Input numbers are 696, 724, 494, 480

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

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 494 :

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

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (696, 724, 494, 480) = 2.

Given numbers are 696, 724, 494, 480

The list of prime factors of all numbers are

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 494 are 2 x 13 x 19

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 696, 724, 494, 480 is 2.

Given numbers are 696, 724, 494, 480

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

Apply this formula for all numbers.

Step1:

LCM(696, 724) = 125976

GCD(696, 724) = ( 696 x 724 ) / 125976

= 696 / 724

= 696

Step2:

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

= 4 / 494

= 4

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 696, 724, 494, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 323, 532, 551
• GCD of 545, 689, 417, 865
• GCD of 424, 458, 551, 212
• GCD of 214, 413, 685, 649
• GCD of 333, 797, 269, 819

Given numbers are 696, 724, 494, 480
The greatest common divisor of numbers 696, 724, 494, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 724, 494, 480 is 2.

1. What is the GCD of 696, 724, 494, 480?

GCD of given numbers 696, 724, 494, 480 is 2

2. How to calculate the greatest common divisor of 696, 724, 494, 480?

We can find the highest common divisor of 696, 724, 494, 480 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 696, 724, 494, 480 i.e 2.

3. How can I use the GCD of 696, 724, 494, 480Calculator?

Out the numbers 696, 724, 494, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.