GCD of 30, 61, 38, 74 Calculator

Given Input numbers are 30, 61, 38, 74

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

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 74 :

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

1, 2, 37, 74

GCD of numbers is the greatest common divisor

So, the GCD (30, 61, 38, 74) = 1.

Given numbers are 30, 61, 38, 74

The list of prime factors of all numbers are

Prime factors of 30 are 2 x 3 x 5

Prime factors of 61 are 61

Prime factors of 38 are 2 x 19

Prime factors of 74 are 2 x 37

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

Given numbers are 30, 61, 38, 74

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

Apply this formula for all numbers.

Step1:

LCM(30, 61) = 1830

GCD(30, 61) = ( 30 x 61 ) / 1830

= 30 / 61

= 30

Step2:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1

Step3:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1

So, Greatest Common Divisor of 30, 61, 38, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 91, 64, 57
• GCD of 63, 63, 60, 44
• GCD of 18, 64, 38, 61
• GCD of 93, 73, 50, 52
• GCD of 81, 80, 74, 33

Given numbers are 30, 61, 38, 74
The greatest common divisor of numbers 30, 61, 38, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 30, 61, 38, 74 is 1.

1. What is the GCD of 30, 61, 38, 74?

GCD of given numbers 30, 61, 38, 74 is 1

2. How to calculate the greatest common divisor of 30, 61, 38, 74?

We can find the highest common divisor of 30, 61, 38, 74 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 30, 61, 38, 74 i.e 1.

3. How can I use the GCD of 30, 61, 38, 74Calculator?

Out the numbers 30, 61, 38, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.