GCD of 132, 308, 578, 721 Calculator

Given Input numbers are 132, 308, 578, 721

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (132, 308, 578, 721) = 1.

Given numbers are 132, 308, 578, 721

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 578 are 2 x 17 x 17

Prime factors of 721 are 7 x 103

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

Given numbers are 132, 308, 578, 721

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

Apply this formula for all numbers.

Step1:

LCM(132, 308) = 924

GCD(132, 308) = ( 132 x 308 ) / 924

= 132 / 308

= 132

Step2:

LCM(44, 578) = 12716

GCD(44, 578) = ( 44 x 578 ) / 12716

= 44 / 578

= 44

Step3:

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

= 2 / 721

= 2

So, Greatest Common Divisor of 132, 308, 578, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 598, 358, 882
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• GCD of 220, 474, 354, 993

Given numbers are 132, 308, 578, 721
The greatest common divisor of numbers 132, 308, 578, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 308, 578, 721 is 1.

1. What is the GCD of 132, 308, 578, 721?

GCD of given numbers 132, 308, 578, 721 is 1

2. How to calculate the greatest common divisor of 132, 308, 578, 721?

We can find the highest common divisor of 132, 308, 578, 721 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, 308, 578, 721 i.e 1.

3. How can I use the GCD of 132, 308, 578, 721Calculator?

Out the numbers 132, 308, 578, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.