GCD of 46, 13, 38, 20 Calculator

Given Input numbers are 46, 13, 38, 20

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

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (46, 13, 38, 20) = 1.

Given numbers are 46, 13, 38, 20

The list of prime factors of all numbers are

Prime factors of 46 are 2 x 23

Prime factors of 13 are 13

Prime factors of 38 are 2 x 19

Prime factors of 20 are 2 x 2 x 5

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

Given numbers are 46, 13, 38, 20

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

Apply this formula for all numbers.

Step1:

LCM(46, 13) = 598

GCD(46, 13) = ( 46 x 13 ) / 598

= 46 / 13

= 46

Step2:

LCM(1, 38) = 38

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

= 1 / 38

= 1

Step3:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1

So, Greatest Common Divisor of 46, 13, 38, 20 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 52, 70, 64
• GCD of 23, 11, 85, 55
• GCD of 48, 84, 25, 75
• GCD of 97, 94, 84, 72
• GCD of 45, 15, 58, 55

Given numbers are 46, 13, 38, 20
The greatest common divisor of numbers 46, 13, 38, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 46, 13, 38, 20 is 1.

1. What is the GCD of 46, 13, 38, 20?

GCD of given numbers 46, 13, 38, 20 is 1

2. How to calculate the greatest common divisor of 46, 13, 38, 20?

We can find the highest common divisor of 46, 13, 38, 20 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 46, 13, 38, 20 i.e 1.

3. How can I use the GCD of 46, 13, 38, 20Calculator?

Out the numbers 46, 13, 38, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.