GCD of 748, 112, 150, 275 Calculator

Given Input numbers are 748, 112, 150, 275

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 112 :

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

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

GCD of numbers is the greatest common divisor

So, the GCD (748, 112, 150, 275) = 1.

Given numbers are 748, 112, 150, 275

The list of prime factors of all numbers are

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

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 275 are 5 x 5 x 11

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

Given numbers are 748, 112, 150, 275

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

Apply this formula for all numbers.

Step1:

LCM(748, 112) = 20944

GCD(748, 112) = ( 748 x 112 ) / 20944

= 748 / 112

= 748

Step2:

LCM(4, 150) = 300

GCD(4, 150) = ( 4 x 150 ) / 300

= 4 / 150

= 4

Step3:

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

= 2 / 275

= 2

So, Greatest Common Divisor of 748, 112, 150, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 318, 970, 147
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Given numbers are 748, 112, 150, 275
The greatest common divisor of numbers 748, 112, 150, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 112, 150, 275 is 1.

1. What is the GCD of 748, 112, 150, 275?

GCD of given numbers 748, 112, 150, 275 is 1

2. How to calculate the greatest common divisor of 748, 112, 150, 275?

We can find the highest common divisor of 748, 112, 150, 275 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, 112, 150, 275 i.e 1.

3. How can I use the GCD of 748, 112, 150, 275Calculator?

Out the numbers 748, 112, 150, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.