GCD of 112, 484, 643, 313 Calculator

Given Input numbers are 112, 484, 643, 313

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

Divisors of 112 :

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

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (112, 484, 643, 313) = 1.

Given numbers are 112, 484, 643, 313

The list of prime factors of all numbers are

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

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 643 are 643

Prime factors of 313 are 313

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

Given numbers are 112, 484, 643, 313

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

Apply this formula for all numbers.

Step1:

LCM(112, 484) = 13552

GCD(112, 484) = ( 112 x 484 ) / 13552

= 112 / 484

= 112

Step2:

LCM(4, 643) = 2572

GCD(4, 643) = ( 4 x 643 ) / 2572

= 4 / 643

= 4

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 112, 484, 643, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 175, 272, 131
• GCD of 503, 334, 278, 191
• GCD of 426, 513, 416, 740
• GCD of 578, 183, 288, 797
• GCD of 815, 883, 923, 909

Given numbers are 112, 484, 643, 313
The greatest common divisor of numbers 112, 484, 643, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 484, 643, 313 is 1.

1. What is the GCD of 112, 484, 643, 313?

GCD of given numbers 112, 484, 643, 313 is 1

2. How to calculate the greatest common divisor of 112, 484, 643, 313?

We can find the highest common divisor of 112, 484, 643, 313 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 112, 484, 643, 313 i.e 1.

3. How can I use the GCD of 112, 484, 643, 313Calculator?

Out the numbers 112, 484, 643, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.