GCD of 918, 420, 816, 276 Calculator

Given Input numbers are 918, 420, 816, 276

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 (918, 420, 816, 276) = 6.

Given numbers are 918, 420, 816, 276

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 918, 420, 816, 276 is 6.

Given numbers are 918, 420, 816, 276

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

Apply this formula for all numbers.

Step1:

LCM(918, 420) = 64260

GCD(918, 420) = ( 918 x 420 ) / 64260

= 918 / 420

= 918

Step2:

LCM(6, 816) = 816

GCD(6, 816) = ( 6 x 816 ) / 816

= 6 / 816

= 6

Step3:

LCM(6, 276) = 276

GCD(6, 276) = ( 6 x 276 ) / 276

= 6 / 276

= 6

So, Greatest Common Divisor of 918, 420, 816, 276 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 124, 332, 864
• GCD of 324, 307, 759, 566
• GCD of 609, 876, 971, 943
• GCD of 445, 253, 792, 746
• GCD of 254, 710, 998, 580

Given numbers are 918, 420, 816, 276
The greatest common divisor of numbers 918, 420, 816, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 420, 816, 276 is 6.

1. What is the GCD of 918, 420, 816, 276?

GCD of given numbers 918, 420, 816, 276 is 6

2. How to calculate the greatest common divisor of 918, 420, 816, 276?

We can find the highest common divisor of 918, 420, 816, 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 918, 420, 816, 276 i.e 6.

3. How can I use the GCD of 918, 420, 816, 276Calculator?

Out the numbers 918, 420, 816, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.