GCD of 112, 141, 164, 296 Calculator

Given Input numbers are 112, 141, 164, 296

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 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (112, 141, 164, 296) = 1.

Given numbers are 112, 141, 164, 296

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 141 are 3 x 47

Prime factors of 164 are 2 x 2 x 41

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 112, 141, 164, 296

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

Apply this formula for all numbers.

Step1:

LCM(112, 141) = 15792

GCD(112, 141) = ( 112 x 141 ) / 15792

= 112 / 141

= 112

Step2:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

So, Greatest Common Divisor of 112, 141, 164, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 107, 239, 738
• GCD of 438, 892, 159, 167
• GCD of 118, 235, 184, 173
• GCD of 341, 538, 581, 562
• GCD of 587, 279, 520, 592

Given numbers are 112, 141, 164, 296
The greatest common divisor of numbers 112, 141, 164, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 141, 164, 296 is 1.

1. What is the GCD of 112, 141, 164, 296?

GCD of given numbers 112, 141, 164, 296 is 1

2. How to calculate the greatest common divisor of 112, 141, 164, 296?

We can find the highest common divisor of 112, 141, 164, 296 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, 141, 164, 296 i.e 1.

3. How can I use the GCD of 112, 141, 164, 296Calculator?

Out the numbers 112, 141, 164, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.