GCD of 112, 119, 348, 131 Calculator

Given Input numbers are 112, 119, 348, 131

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 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (112, 119, 348, 131) = 1.

Given numbers are 112, 119, 348, 131

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 119 are 7 x 17

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 131 are 131

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

Given numbers are 112, 119, 348, 131

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

Apply this formula for all numbers.

Step1:

LCM(112, 119) = 1904

GCD(112, 119) = ( 112 x 119 ) / 1904

= 112 / 119

= 112

Step2:

LCM(7, 348) = 2436

GCD(7, 348) = ( 7 x 348 ) / 2436

= 7 / 348

= 7

Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

So, Greatest Common Divisor of 112, 119, 348, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 489, 561, 577
• GCD of 929, 137, 137, 877
• GCD of 670, 726, 980, 263
• GCD of 203, 706, 721, 900
• GCD of 748, 603, 502, 690

Given numbers are 112, 119, 348, 131
The greatest common divisor of numbers 112, 119, 348, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 119, 348, 131 is 1.

1. What is the GCD of 112, 119, 348, 131?

GCD of given numbers 112, 119, 348, 131 is 1

2. How to calculate the greatest common divisor of 112, 119, 348, 131?

We can find the highest common divisor of 112, 119, 348, 131 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, 119, 348, 131 i.e 1.

3. How can I use the GCD of 112, 119, 348, 131Calculator?

Out the numbers 112, 119, 348, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.