GCD of 648, 220, 311, 112 Calculator

Given Input numbers are 648, 220, 311, 112

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (648, 220, 311, 112) = 1.

Given numbers are 648, 220, 311, 112

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 311 are 311

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 648, 220, 311, 112

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

Apply this formula for all numbers.

Step1:

LCM(648, 220) = 35640

GCD(648, 220) = ( 648 x 220 ) / 35640

= 648 / 220

= 648

Step2:

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

= 4 / 311

= 4

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 648, 220, 311, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 358, 320, 802
• GCD of 406, 486, 577, 583
• GCD of 229, 524, 626, 828
• GCD of 502, 589, 761, 637
• GCD of 378, 879, 847, 456

Given numbers are 648, 220, 311, 112
The greatest common divisor of numbers 648, 220, 311, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 220, 311, 112 is 1.

1. What is the GCD of 648, 220, 311, 112?

GCD of given numbers 648, 220, 311, 112 is 1

2. How to calculate the greatest common divisor of 648, 220, 311, 112?

We can find the highest common divisor of 648, 220, 311, 112 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 648, 220, 311, 112 i.e 1.

3. How can I use the GCD of 648, 220, 311, 112Calculator?

Out the numbers 648, 220, 311, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.