GCD of 132, 458, 720, 269 Calculator

Given Input numbers are 132, 458, 720, 269

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 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (132, 458, 720, 269) = 1.

Given numbers are 132, 458, 720, 269

The list of prime factors of all numbers are

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

Prime factors of 458 are 2 x 229

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 269 are 269

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

Given numbers are 132, 458, 720, 269

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

Apply this formula for all numbers.

Step1:

LCM(132, 458) = 30228

GCD(132, 458) = ( 132 x 458 ) / 30228

= 132 / 458

= 132

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

= 2 / 269

= 2

So, Greatest Common Divisor of 132, 458, 720, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 707, 822, 454
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Given numbers are 132, 458, 720, 269
The greatest common divisor of numbers 132, 458, 720, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 458, 720, 269 is 1.

1. What is the GCD of 132, 458, 720, 269?

GCD of given numbers 132, 458, 720, 269 is 1

2. How to calculate the greatest common divisor of 132, 458, 720, 269?

We can find the highest common divisor of 132, 458, 720, 269 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, 458, 720, 269 i.e 1.

3. How can I use the GCD of 132, 458, 720, 269Calculator?

Out the numbers 132, 458, 720, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.