GCD of 112, 148, 294, 371 Calculator

Given Input numbers are 112, 148, 294, 371

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

GCD of numbers is the greatest common divisor

So, the GCD (112, 148, 294, 371) = 1.

Given numbers are 112, 148, 294, 371

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 148 are 2 x 2 x 37

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 371 are 7 x 53

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

Given numbers are 112, 148, 294, 371

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

Apply this formula for all numbers.

Step1:

LCM(112, 148) = 4144

GCD(112, 148) = ( 112 x 148 ) / 4144

= 112 / 148

= 112

Step2:

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

= 4 / 294

= 4

Step3:

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

= 2 / 371

= 2

So, Greatest Common Divisor of 112, 148, 294, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 656, 422, 360
• GCD of 122, 236, 155, 734
• GCD of 462, 108, 959, 148
• GCD of 254, 800, 425, 255
• GCD of 186, 971, 936, 134

Given numbers are 112, 148, 294, 371
The greatest common divisor of numbers 112, 148, 294, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 148, 294, 371 is 1.

1. What is the GCD of 112, 148, 294, 371?

GCD of given numbers 112, 148, 294, 371 is 1

2. How to calculate the greatest common divisor of 112, 148, 294, 371?

We can find the highest common divisor of 112, 148, 294, 371 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, 148, 294, 371 i.e 1.

3. How can I use the GCD of 112, 148, 294, 371Calculator?

Out the numbers 112, 148, 294, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.