GCD of 382, 150, 174, 748 Calculator

Given Input numbers are 382, 150, 174, 748

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

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

GCD of numbers is the greatest common divisor

So, the GCD (382, 150, 174, 748) = 2.

Given numbers are 382, 150, 174, 748

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

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

Prime factors of 174 are 2 x 3 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 382, 150, 174, 748 is 2.

Given numbers are 382, 150, 174, 748

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

Apply this formula for all numbers.

Step1:

LCM(382, 150) = 28650

GCD(382, 150) = ( 382 x 150 ) / 28650

= 382 / 150

= 382

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 382, 150, 174, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 916, 418, 465
• GCD of 722, 527, 297, 708
• GCD of 717, 528, 869, 606
• GCD of 352, 405, 614, 251
• GCD of 266, 940, 245, 631

Given numbers are 382, 150, 174, 748
The greatest common divisor of numbers 382, 150, 174, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 150, 174, 748 is 2.

1. What is the GCD of 382, 150, 174, 748?

GCD of given numbers 382, 150, 174, 748 is 2

2. How to calculate the greatest common divisor of 382, 150, 174, 748?

We can find the highest common divisor of 382, 150, 174, 748 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 382, 150, 174, 748 i.e 2.

3. How can I use the GCD of 382, 150, 174, 748Calculator?

Out the numbers 382, 150, 174, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.