GCD of 132, 105, 588, 746 Calculator

Given Input numbers are 132, 105, 588, 746

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (132, 105, 588, 746) = 1.

Given numbers are 132, 105, 588, 746

The list of prime factors of all numbers are

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 746 are 2 x 373

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

Given numbers are 132, 105, 588, 746

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

Apply this formula for all numbers.

Step1:

LCM(132, 105) = 4620

GCD(132, 105) = ( 132 x 105 ) / 4620

= 132 / 105

= 132

Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

Step3:

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

= 3 / 746

= 3

So, Greatest Common Divisor of 132, 105, 588, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 674, 307, 949
• GCD of 421, 862, 819, 245
• GCD of 177, 246, 952, 983
• GCD of 891, 675, 786, 421
• GCD of 633, 596, 111, 780

Given numbers are 132, 105, 588, 746
The greatest common divisor of numbers 132, 105, 588, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 105, 588, 746 is 1.

1. What is the GCD of 132, 105, 588, 746?

GCD of given numbers 132, 105, 588, 746 is 1

2. How to calculate the greatest common divisor of 132, 105, 588, 746?

We can find the highest common divisor of 132, 105, 588, 746 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, 105, 588, 746 i.e 1.

3. How can I use the GCD of 132, 105, 588, 746Calculator?

Out the numbers 132, 105, 588, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.