GCD of 132, 246, 512, 688 Calculator

Given Input numbers are 132, 246, 512, 688

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (132, 246, 512, 688) = 2.

Given numbers are 132, 246, 512, 688

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 246 are 2 x 3 x 41

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 132, 246, 512, 688 is 2.

Given numbers are 132, 246, 512, 688

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

Apply this formula for all numbers.

Step1:

LCM(132, 246) = 5412

GCD(132, 246) = ( 132 x 246 ) / 5412

= 132 / 246

= 132

Step2:

LCM(6, 512) = 1536

GCD(6, 512) = ( 6 x 512 ) / 1536

= 6 / 512

= 6

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 132, 246, 512, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 860, 403, 282
• GCD of 142, 824, 336, 302
• GCD of 434, 396, 437, 734
• GCD of 772, 582, 796, 313
• GCD of 513, 552, 234, 942

Given numbers are 132, 246, 512, 688
The greatest common divisor of numbers 132, 246, 512, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 246, 512, 688 is 2.

1. What is the GCD of 132, 246, 512, 688?

GCD of given numbers 132, 246, 512, 688 is 2

2. How to calculate the greatest common divisor of 132, 246, 512, 688?

We can find the highest common divisor of 132, 246, 512, 688 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 132, 246, 512, 688 i.e 2.

3. How can I use the GCD of 132, 246, 512, 688Calculator?

Out the numbers 132, 246, 512, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.