GCD of 21, 68, 74, 13 Calculator

Given Input numbers are 21, 68, 74, 13

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

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 74 :

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

1, 2, 37, 74

Divisors of 13 :

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

1, 13

GCD of numbers is the greatest common divisor

So, the GCD (21, 68, 74, 13) = 1.

Given numbers are 21, 68, 74, 13

The list of prime factors of all numbers are

Prime factors of 21 are 3 x 7

Prime factors of 68 are 2 x 2 x 17

Prime factors of 74 are 2 x 37

Prime factors of 13 are 13

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

Given numbers are 21, 68, 74, 13

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

Apply this formula for all numbers.

Step1:

LCM(21, 68) = 1428

GCD(21, 68) = ( 21 x 68 ) / 1428

= 21 / 68

= 21

Step2:

LCM(1, 74) = 74

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

= 1 / 74

= 1

Step3:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1

So, Greatest Common Divisor of 21, 68, 74, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 10, 27, 71
• GCD of 64, 88, 44, 38
• GCD of 18, 50, 94, 18
• GCD of 46, 50, 58, 12
• GCD of 43, 38, 48, 39

Given numbers are 21, 68, 74, 13
The greatest common divisor of numbers 21, 68, 74, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 21, 68, 74, 13 is 1.

1. What is the GCD of 21, 68, 74, 13?

GCD of given numbers 21, 68, 74, 13 is 1

2. How to calculate the greatest common divisor of 21, 68, 74, 13?

We can find the highest common divisor of 21, 68, 74, 13 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 21, 68, 74, 13 i.e 1.

3. How can I use the GCD of 21, 68, 74, 13Calculator?

Out the numbers 21, 68, 74, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.