GCD of 672, 342, 468, 513 Calculator

Given Input numbers are 672, 342, 468, 513

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 (672, 342, 468, 513) = 3.

Given numbers are 672, 342, 468, 513

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 672, 342, 468, 513 is 3.

Given numbers are 672, 342, 468, 513

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

Apply this formula for all numbers.

Step1:

LCM(672, 342) = 38304

GCD(672, 342) = ( 672 x 342 ) / 38304

= 672 / 342

= 672

Step2:

LCM(6, 468) = 468

GCD(6, 468) = ( 6 x 468 ) / 468

= 6 / 468

= 6

Step3:

LCM(6, 513) = 1026

GCD(6, 513) = ( 6 x 513 ) / 1026

= 6 / 513

= 6

So, Greatest Common Divisor of 672, 342, 468, 513 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 132, 543, 703
• GCD of 845, 809, 657, 493
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• GCD of 134, 671, 729, 873

Given numbers are 672, 342, 468, 513
The greatest common divisor of numbers 672, 342, 468, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 342, 468, 513 is 3.

1. What is the GCD of 672, 342, 468, 513?

GCD of given numbers 672, 342, 468, 513 is 3

2. How to calculate the greatest common divisor of 672, 342, 468, 513?

We can find the highest common divisor of 672, 342, 468, 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 672, 342, 468, 513 i.e 3.

3. How can I use the GCD of 672, 342, 468, 513Calculator?

Out the numbers 672, 342, 468, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.