GCD of 48, 74, 38, 34 Calculator

Given Input numbers are 48, 74, 38, 34

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

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

GCD of numbers is the greatest common divisor

So, the GCD (48, 74, 38, 34) = 2.

Given numbers are 48, 74, 38, 34

The list of prime factors of all numbers are

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 74 are 2 x 37

Prime factors of 38 are 2 x 19

Prime factors of 34 are 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 48, 74, 38, 34 is 2.

Given numbers are 48, 74, 38, 34

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

Apply this formula for all numbers.

Step1:

LCM(48, 74) = 1776

GCD(48, 74) = ( 48 x 74 ) / 1776

= 48 / 74

= 48

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

= 2 / 34

= 2

So, Greatest Common Divisor of 48, 74, 38, 34 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 31, 80, 30
• GCD of 49, 23, 29, 89
• GCD of 42, 66, 36, 68
• GCD of 75, 45, 32, 22
• GCD of 97, 67, 52, 19

Given numbers are 48, 74, 38, 34
The greatest common divisor of numbers 48, 74, 38, 34 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 48, 74, 38, 34 is 2.

1. What is the GCD of 48, 74, 38, 34?

GCD of given numbers 48, 74, 38, 34 is 2

2. How to calculate the greatest common divisor of 48, 74, 38, 34?

We can find the highest common divisor of 48, 74, 38, 34 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 48, 74, 38, 34 i.e 2.

3. How can I use the GCD of 48, 74, 38, 34Calculator?

Out the numbers 48, 74, 38, 34 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.