GCD of 348, 742, 725, 112 Calculator

Given Input numbers are 348, 742, 725, 112

In the factoring method, we have to find the divisors of all numbers

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (348, 742, 725, 112) = 1.

Given numbers are 348, 742, 725, 112

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 725 are 5 x 5 x 29

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 348, 742, 725, 112

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

Apply this formula for all numbers.

Step1:

LCM(348, 742) = 129108

GCD(348, 742) = ( 348 x 742 ) / 129108

= 348 / 742

= 348

Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 348, 742, 725, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 398, 159, 776
• GCD of 724, 154, 937, 728
• GCD of 195, 373, 784, 836
• GCD of 199, 547, 888, 555
• GCD of 377, 319, 527, 956

Given numbers are 348, 742, 725, 112
The greatest common divisor of numbers 348, 742, 725, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 742, 725, 112 is 1.

1. What is the GCD of 348, 742, 725, 112?

GCD of given numbers 348, 742, 725, 112 is 1

2. How to calculate the greatest common divisor of 348, 742, 725, 112?

We can find the highest common divisor of 348, 742, 725, 112 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 348, 742, 725, 112 i.e 1.

3. How can I use the GCD of 348, 742, 725, 112Calculator?

Out the numbers 348, 742, 725, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.