GCD of 768, 471, 633, 132 Calculator

Given Input numbers are 768, 471, 633, 132

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

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

GCD of numbers is the greatest common divisor

So, the GCD (768, 471, 633, 132) = 3.

Given numbers are 768, 471, 633, 132

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 471 are 3 x 157

Prime factors of 633 are 3 x 211

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

The highest common occurrence is 3¹

Therefore, GCD of 768, 471, 633, 132 is 3.

Given numbers are 768, 471, 633, 132

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

Apply this formula for all numbers.

Step1:

LCM(768, 471) = 120576

GCD(768, 471) = ( 768 x 471 ) / 120576

= 768 / 471

= 768

Step2:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3

Step3:

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

= 3 / 132

= 3

So, Greatest Common Divisor of 768, 471, 633, 132 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 222, 231, 821
• GCD of 822, 149, 336, 138
• GCD of 274, 879, 410, 229
• GCD of 899, 222, 307, 834
• GCD of 153, 724, 812, 889

Given numbers are 768, 471, 633, 132
The greatest common divisor of numbers 768, 471, 633, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 471, 633, 132 is 3.

1. What is the GCD of 768, 471, 633, 132?

GCD of given numbers 768, 471, 633, 132 is 3

2. How to calculate the greatest common divisor of 768, 471, 633, 132?

We can find the highest common divisor of 768, 471, 633, 132 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 768, 471, 633, 132 i.e 3.

3. How can I use the GCD of 768, 471, 633, 132Calculator?

Out the numbers 768, 471, 633, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.