GCD of 520, 270, 960, 704 Calculator

Given Input numbers are 520, 270, 960, 704

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (520, 270, 960, 704) = 2.

Given numbers are 520, 270, 960, 704

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 520, 270, 960, 704 is 2.

Given numbers are 520, 270, 960, 704

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

Apply this formula for all numbers.

Step1:

LCM(520, 270) = 14040

GCD(520, 270) = ( 520 x 270 ) / 14040

= 520 / 270

= 520

Step2:

LCM(10, 960) = 960

GCD(10, 960) = ( 10 x 960 ) / 960

= 10 / 960

= 10

Step3:

LCM(10, 704) = 3520

GCD(10, 704) = ( 10 x 704 ) / 3520

= 10 / 704

= 10

So, Greatest Common Divisor of 520, 270, 960, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 478, 851, 133
• GCD of 653, 457, 914, 630
• GCD of 339, 815, 873, 393
• GCD of 153, 814, 669, 348
• GCD of 447, 894, 724, 615

Given numbers are 520, 270, 960, 704
The greatest common divisor of numbers 520, 270, 960, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 270, 960, 704 is 2.

1. What is the GCD of 520, 270, 960, 704?

GCD of given numbers 520, 270, 960, 704 is 2

2. How to calculate the greatest common divisor of 520, 270, 960, 704?

We can find the highest common divisor of 520, 270, 960, 704 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 520, 270, 960, 704 i.e 2.

3. How can I use the GCD of 520, 270, 960, 704Calculator?

Out the numbers 520, 270, 960, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.