GCD of 312, 916, 220, 273 Calculator

Given Input numbers are 312, 916, 220, 273

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (312, 916, 220, 273) = 1.

Given numbers are 312, 916, 220, 273

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 916 are 2 x 2 x 229

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 273 are 3 x 7 x 13

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

Given numbers are 312, 916, 220, 273

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

Apply this formula for all numbers.

Step1:

LCM(312, 916) = 71448

GCD(312, 916) = ( 312 x 916 ) / 71448

= 312 / 916

= 312

Step2:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4

Step3:

LCM(4, 273) = 1092

GCD(4, 273) = ( 4 x 273 ) / 1092

= 4 / 273

= 4

So, Greatest Common Divisor of 312, 916, 220, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 153, 908, 705
• GCD of 258, 309, 727, 364
• GCD of 523, 234, 476, 167
• GCD of 118, 689, 459, 871
• GCD of 500, 579, 557, 920

Given numbers are 312, 916, 220, 273
The greatest common divisor of numbers 312, 916, 220, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 916, 220, 273 is 1.

1. What is the GCD of 312, 916, 220, 273?

GCD of given numbers 312, 916, 220, 273 is 1

2. How to calculate the greatest common divisor of 312, 916, 220, 273?

We can find the highest common divisor of 312, 916, 220, 273 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 312, 916, 220, 273 i.e 1.

3. How can I use the GCD of 312, 916, 220, 273Calculator?

Out the numbers 312, 916, 220, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.