GCD of 705, 752, 906, 132 Calculator

Given Input numbers are 705, 752, 906, 132

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

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 (705, 752, 906, 132) = 1.

Given numbers are 705, 752, 906, 132

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 906 are 2 x 3 x 151

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 705, 752, 906, 132

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

Apply this formula for all numbers.

Step1:

LCM(705, 752) = 11280

GCD(705, 752) = ( 705 x 752 ) / 11280

= 705 / 752

= 705

Step2:

LCM(47, 906) = 42582

GCD(47, 906) = ( 47 x 906 ) / 42582

= 47 / 906

= 47

Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

So, Greatest Common Divisor of 705, 752, 906, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 151, 636, 467
• GCD of 422, 374, 793, 310
• GCD of 659, 894, 602, 570
• GCD of 301, 449, 374, 513
• GCD of 351, 130, 244, 100

Given numbers are 705, 752, 906, 132
The greatest common divisor of numbers 705, 752, 906, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 752, 906, 132 is 1.

1. What is the GCD of 705, 752, 906, 132?

GCD of given numbers 705, 752, 906, 132 is 1

2. How to calculate the greatest common divisor of 705, 752, 906, 132?

We can find the highest common divisor of 705, 752, 906, 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 705, 752, 906, 132 i.e 1.

3. How can I use the GCD of 705, 752, 906, 132Calculator?

Out the numbers 705, 752, 906, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.