GCD of 801, 714, 399, 513 Calculator

Given Input numbers are 801, 714, 399, 513

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 513 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (801, 714, 399, 513) = 3.

Given numbers are 801, 714, 399, 513

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 399 are 3 x 7 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 801, 714, 399, 513 is 3.

Given numbers are 801, 714, 399, 513

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

Apply this formula for all numbers.

Step1:

LCM(801, 714) = 190638

GCD(801, 714) = ( 801 x 714 ) / 190638

= 801 / 714

= 801

Step2:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

Step3:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3

So, Greatest Common Divisor of 801, 714, 399, 513 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 977, 334, 292
• GCD of 233, 523, 326, 703
• GCD of 368, 546, 764, 703
• GCD of 619, 703, 562, 105
• GCD of 184, 137, 875, 451

Given numbers are 801, 714, 399, 513
The greatest common divisor of numbers 801, 714, 399, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 714, 399, 513 is 3.

1. What is the GCD of 801, 714, 399, 513?

GCD of given numbers 801, 714, 399, 513 is 3

2. How to calculate the greatest common divisor of 801, 714, 399, 513?

We can find the highest common divisor of 801, 714, 399, 513 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 801, 714, 399, 513 i.e 3.

3. How can I use the GCD of 801, 714, 399, 513Calculator?

Out the numbers 801, 714, 399, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.