GCD of 276, 132, 825, 491 Calculator

Given Input numbers are 276, 132, 825, 491

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

GCD of numbers is the greatest common divisor

So, the GCD (276, 132, 825, 491) = 1.

Given numbers are 276, 132, 825, 491

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 491 are 491

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

Given numbers are 276, 132, 825, 491

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

Apply this formula for all numbers.

Step1:

LCM(276, 132) = 3036

GCD(276, 132) = ( 276 x 132 ) / 3036

= 276 / 132

= 276

Step2:

LCM(12, 825) = 3300

GCD(12, 825) = ( 12 x 825 ) / 3300

= 12 / 825

= 12

Step3:

LCM(3, 491) = 1473

GCD(3, 491) = ( 3 x 491 ) / 1473

= 3 / 491

= 3

So, Greatest Common Divisor of 276, 132, 825, 491 is 1

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Given numbers are 276, 132, 825, 491
The greatest common divisor of numbers 276, 132, 825, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 132, 825, 491 is 1.

1. What is the GCD of 276, 132, 825, 491?

GCD of given numbers 276, 132, 825, 491 is 1

2. How to calculate the greatest common divisor of 276, 132, 825, 491?

We can find the highest common divisor of 276, 132, 825, 491 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 276, 132, 825, 491 i.e 1.

3. How can I use the GCD of 276, 132, 825, 491Calculator?

Out the numbers 276, 132, 825, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.