GCD of 748, 470, 345, 112 Calculator

Given Input numbers are 748, 470, 345, 112

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 (748, 470, 345, 112) = 1.

Given numbers are 748, 470, 345, 112

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 470 are 2 x 5 x 47

Prime factors of 345 are 3 x 5 x 23

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 748, 470, 345, 112

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

Apply this formula for all numbers.

Step1:

LCM(748, 470) = 175780

GCD(748, 470) = ( 748 x 470 ) / 175780

= 748 / 470

= 748

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

Step3:

LCM(1, 112) = 112

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

= 1 / 112

= 1

So, Greatest Common Divisor of 748, 470, 345, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 363, 667, 597
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Given numbers are 748, 470, 345, 112
The greatest common divisor of numbers 748, 470, 345, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 470, 345, 112 is 1.

1. What is the GCD of 748, 470, 345, 112?

GCD of given numbers 748, 470, 345, 112 is 1

2. How to calculate the greatest common divisor of 748, 470, 345, 112?

We can find the highest common divisor of 748, 470, 345, 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 748, 470, 345, 112 i.e 1.

3. How can I use the GCD of 748, 470, 345, 112Calculator?

Out the numbers 748, 470, 345, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.