GCD of 513, 201, 311, 780 Calculator

Given Input numbers are 513, 201, 311, 780

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (513, 201, 311, 780) = 1.

Given numbers are 513, 201, 311, 780

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 201 are 3 x 67

Prime factors of 311 are 311

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Given numbers are 513, 201, 311, 780

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

Apply this formula for all numbers.

Step1:

LCM(513, 201) = 34371

GCD(513, 201) = ( 513 x 201 ) / 34371

= 513 / 201

= 513

Step2:

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

= 3 / 311

= 3

Step3:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1

So, Greatest Common Divisor of 513, 201, 311, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 928, 689, 342
• GCD of 309, 612, 636, 933
• GCD of 138, 460, 839, 385
• GCD of 806, 618, 190, 287
• GCD of 799, 623, 482, 541

Given numbers are 513, 201, 311, 780
The greatest common divisor of numbers 513, 201, 311, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 201, 311, 780 is 1.

1. What is the GCD of 513, 201, 311, 780?

GCD of given numbers 513, 201, 311, 780 is 1

2. How to calculate the greatest common divisor of 513, 201, 311, 780?

We can find the highest common divisor of 513, 201, 311, 780 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 513, 201, 311, 780 i.e 1.

3. How can I use the GCD of 513, 201, 311, 780Calculator?

Out the numbers 513, 201, 311, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.