GCD of 231, 336, 513, 426 Calculator

Given Input numbers are 231, 336, 513, 426

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 513 :

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

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (231, 336, 513, 426) = 3.

Given numbers are 231, 336, 513, 426

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

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

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 231, 336, 513, 426 is 3.

Given numbers are 231, 336, 513, 426

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

Apply this formula for all numbers.

Step1:

LCM(231, 336) = 3696

GCD(231, 336) = ( 231 x 336 ) / 3696

= 231 / 336

= 231

Step2:

LCM(21, 513) = 3591

GCD(21, 513) = ( 21 x 513 ) / 3591

= 21 / 513

= 21

Step3:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3

So, Greatest Common Divisor of 231, 336, 513, 426 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 599, 258, 443
• GCD of 973, 687, 588, 751
• GCD of 321, 253, 890, 541
• GCD of 893, 356, 184, 595
• GCD of 107, 612, 883, 223

Given numbers are 231, 336, 513, 426
The greatest common divisor of numbers 231, 336, 513, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 336, 513, 426 is 3.

1. What is the GCD of 231, 336, 513, 426?

GCD of given numbers 231, 336, 513, 426 is 3

2. How to calculate the greatest common divisor of 231, 336, 513, 426?

We can find the highest common divisor of 231, 336, 513, 426 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 231, 336, 513, 426 i.e 3.

3. How can I use the GCD of 231, 336, 513, 426Calculator?

Out the numbers 231, 336, 513, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.