GCD of 320, 174, 50, 748 Calculator

Given Input numbers are 320, 174, 50, 748

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 174 :

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

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

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

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 (320, 174, 50, 748) = 2.

Given numbers are 320, 174, 50, 748

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 174 are 2 x 3 x 29

Prime factors of 50 are 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 320, 174, 50, 748 is 2.

Given numbers are 320, 174, 50, 748

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

Apply this formula for all numbers.

Step1:

LCM(320, 174) = 27840

GCD(320, 174) = ( 320 x 174 ) / 27840

= 320 / 174

= 320

Step2:

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

= 2 / 50

= 2

Step3:

LCM(2, 748) = 748

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

= 2 / 748

= 2

So, Greatest Common Divisor of 320, 174, 50, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 587, 20, 108
• GCD of 169, 470, 20, 653
• GCD of 117, 549, 44, 302
• GCD of 188, 564, 98, 762
• GCD of 113, 272, 13, 543

Given numbers are 320, 174, 50, 748
The greatest common divisor of numbers 320, 174, 50, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 174, 50, 748 is 2.

1. What is the GCD of 320, 174, 50, 748?

GCD of given numbers 320, 174, 50, 748 is 2

2. How to calculate the greatest common divisor of 320, 174, 50, 748?

We can find the highest common divisor of 320, 174, 50, 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 320, 174, 50, 748 i.e 2.

3. How can I use the GCD of 320, 174, 50, 748Calculator?

Out the numbers 320, 174, 50, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.