GCD of 112, 475, 644, 309 Calculator

Given Input numbers are 112, 475, 644, 309

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (112, 475, 644, 309) = 1.

Given numbers are 112, 475, 644, 309

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 475 are 5 x 5 x 19

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 309 are 3 x 103

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

Given numbers are 112, 475, 644, 309

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

Apply this formula for all numbers.

Step1:

LCM(112, 475) = 53200

GCD(112, 475) = ( 112 x 475 ) / 53200

= 112 / 475

= 112

Step2:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 112, 475, 644, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 158, 764, 336
• GCD of 359, 365, 644, 458
• GCD of 134, 801, 601, 511
• GCD of 166, 167, 999, 161
• GCD of 464, 386, 118, 221

Given numbers are 112, 475, 644, 309
The greatest common divisor of numbers 112, 475, 644, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 475, 644, 309 is 1.

1. What is the GCD of 112, 475, 644, 309?

GCD of given numbers 112, 475, 644, 309 is 1

2. How to calculate the greatest common divisor of 112, 475, 644, 309?

We can find the highest common divisor of 112, 475, 644, 309 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, 475, 644, 309 i.e 1.

3. How can I use the GCD of 112, 475, 644, 309Calculator?

Out the numbers 112, 475, 644, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.