GCD of 672, 646, 538, 510 Calculator

Given Input numbers are 672, 646, 538, 510

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 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (672, 646, 538, 510) = 2.

Given numbers are 672, 646, 538, 510

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 646 are 2 x 17 x 19

Prime factors of 538 are 2 x 269

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 672, 646, 538, 510 is 2.

Given numbers are 672, 646, 538, 510

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

Apply this formula for all numbers.

Step1:

LCM(672, 646) = 217056

GCD(672, 646) = ( 672 x 646 ) / 217056

= 672 / 646

= 672

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

So, Greatest Common Divisor of 672, 646, 538, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 769, 909, 823
• GCD of 444, 387, 138, 711
• GCD of 559, 760, 642, 139
• GCD of 354, 655, 414, 775
• GCD of 109, 864, 118, 654

Given numbers are 672, 646, 538, 510
The greatest common divisor of numbers 672, 646, 538, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 646, 538, 510 is 2.

1. What is the GCD of 672, 646, 538, 510?

GCD of given numbers 672, 646, 538, 510 is 2

2. How to calculate the greatest common divisor of 672, 646, 538, 510?

We can find the highest common divisor of 672, 646, 538, 510 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, 646, 538, 510 i.e 2.

3. How can I use the GCD of 672, 646, 538, 510Calculator?

Out the numbers 672, 646, 538, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.