GCD of 553, 132, 366, 540 Calculator

Given Input numbers are 553, 132, 366, 540

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

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (553, 132, 366, 540) = 1.

Given numbers are 553, 132, 366, 540

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

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

Prime factors of 366 are 2 x 3 x 61

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

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

Given numbers are 553, 132, 366, 540

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

Apply this formula for all numbers.

Step1:

LCM(553, 132) = 72996

GCD(553, 132) = ( 553 x 132 ) / 72996

= 553 / 132

= 553

Step2:

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

= 1 / 366

= 1

Step3:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

So, Greatest Common Divisor of 553, 132, 366, 540 is 1

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Given numbers are 553, 132, 366, 540
The greatest common divisor of numbers 553, 132, 366, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 132, 366, 540 is 1.

1. What is the GCD of 553, 132, 366, 540?

GCD of given numbers 553, 132, 366, 540 is 1

2. How to calculate the greatest common divisor of 553, 132, 366, 540?

We can find the highest common divisor of 553, 132, 366, 540 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 553, 132, 366, 540 i.e 1.

3. How can I use the GCD of 553, 132, 366, 540Calculator?

Out the numbers 553, 132, 366, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.