GCD of 520, 972, 313, 721 Calculator

Given Input numbers are 520, 972, 313, 721

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (520, 972, 313, 721) = 1.

Given numbers are 520, 972, 313, 721

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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 313 are 313

Prime factors of 721 are 7 x 103

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

Given numbers are 520, 972, 313, 721

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

Apply this formula for all numbers.

Step1:

LCM(520, 972) = 126360

GCD(520, 972) = ( 520 x 972 ) / 126360

= 520 / 972

= 520

Step2:

LCM(4, 313) = 1252

GCD(4, 313) = ( 4 x 313 ) / 1252

= 4 / 313

= 4

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 520, 972, 313, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 738, 869, 477
• GCD of 333, 109, 976, 656
• GCD of 830, 985, 219, 706
• GCD of 200, 790, 331, 427
• GCD of 562, 662, 199, 853

Given numbers are 520, 972, 313, 721
The greatest common divisor of numbers 520, 972, 313, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 972, 313, 721 is 1.

1. What is the GCD of 520, 972, 313, 721?

GCD of given numbers 520, 972, 313, 721 is 1

2. How to calculate the greatest common divisor of 520, 972, 313, 721?

We can find the highest common divisor of 520, 972, 313, 721 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, 972, 313, 721 i.e 1.

3. How can I use the GCD of 520, 972, 313, 721Calculator?

Out the numbers 520, 972, 313, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.