GCD of 492, 975, 999, 276 Calculator

Given Input numbers are 492, 975, 999, 276

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

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

GCD of numbers is the greatest common divisor

So, the GCD (492, 975, 999, 276) = 3.

Given numbers are 492, 975, 999, 276

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 999 are 3 x 3 x 3 x 37

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

The highest common occurrence is 3¹

Therefore, GCD of 492, 975, 999, 276 is 3.

Given numbers are 492, 975, 999, 276

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

Apply this formula for all numbers.

Step1:

LCM(492, 975) = 159900

GCD(492, 975) = ( 492 x 975 ) / 159900

= 492 / 975

= 492

Step2:

LCM(3, 999) = 999

GCD(3, 999) = ( 3 x 999 ) / 999

= 3 / 999

= 3

Step3:

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

= 3 / 276

= 3

So, Greatest Common Divisor of 492, 975, 999, 276 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 502, 816, 580
• GCD of 435, 313, 737, 429
• GCD of 148, 188, 692, 972
• GCD of 460, 103, 878, 845
• GCD of 345, 394, 483, 656

Given numbers are 492, 975, 999, 276
The greatest common divisor of numbers 492, 975, 999, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 975, 999, 276 is 3.

1. What is the GCD of 492, 975, 999, 276?

GCD of given numbers 492, 975, 999, 276 is 3

2. How to calculate the greatest common divisor of 492, 975, 999, 276?

We can find the highest common divisor of 492, 975, 999, 276 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 492, 975, 999, 276 i.e 3.

3. How can I use the GCD of 492, 975, 999, 276Calculator?

Out the numbers 492, 975, 999, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.