GCD of 520, 755, 446, 312 Calculator

Given Input numbers are 520, 755, 446, 312

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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (520, 755, 446, 312) = 1.

Given numbers are 520, 755, 446, 312

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 755 are 5 x 151

Prime factors of 446 are 2 x 223

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 520, 755, 446, 312

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

Apply this formula for all numbers.

Step1:

LCM(520, 755) = 78520

GCD(520, 755) = ( 520 x 755 ) / 78520

= 520 / 755

= 520

Step2:

LCM(5, 446) = 2230

GCD(5, 446) = ( 5 x 446 ) / 2230

= 5 / 446

= 5

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 520, 755, 446, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 360, 142, 510
• GCD of 600, 526, 688, 371
• GCD of 980, 480, 128, 142
• GCD of 156, 277, 123, 207
• GCD of 213, 937, 844, 278

Given numbers are 520, 755, 446, 312
The greatest common divisor of numbers 520, 755, 446, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 755, 446, 312 is 1.

1. What is the GCD of 520, 755, 446, 312?

GCD of given numbers 520, 755, 446, 312 is 1

2. How to calculate the greatest common divisor of 520, 755, 446, 312?

We can find the highest common divisor of 520, 755, 446, 312 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, 755, 446, 312 i.e 1.

3. How can I use the GCD of 520, 755, 446, 312Calculator?

Out the numbers 520, 755, 446, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.