GCD of 112, 164, 291 Calculator

Given Input numbers are 112, 164, 291

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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (112, 164, 291) = 1.

Given numbers are 112, 164, 291

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 164 are 2 x 2 x 41

Prime factors of 291 are 3 x 97

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

Given numbers are 112, 164, 291

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

Apply this formula for all numbers.

Step1:

LCM(112, 164) = 4592

GCD(112, 164) = ( 112 x 164 ) / 4592

= 112 / 164

= 112

Step2:

LCM(4, 291) = 1164

GCD(4, 291) = ( 4 x 291 ) / 1164

= 4 / 291

= 4

So, Greatest Common Divisor of 112, 164, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 947, 953
• GCD of 442, 198, 393
• GCD of 566, 923, 281
• GCD of 685, 521, 616
• GCD of 233, 116, 420

Given numbers are 112, 164, 291
The greatest common divisor of numbers 112, 164, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 164, 291 is 1.

1. What is the GCD of 112, 164, 291?

GCD of given numbers 112, 164, 291 is 1

2. How to calculate the greatest common divisor of 112, 164, 291?

We can find the highest common divisor of 112, 164, 291 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, 164, 291 i.e 1.

3. How can I use the GCD of 112, 164, 291Calculator?

Out the numbers 112, 164, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.