GCD of 89, 82, 21, 41 Calculator

Given Input numbers are 89, 82, 21, 41

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

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 21 :

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

1, 3, 7, 21

Divisors of 41 :

The positive integer divisors of 41 that completely divides 41 are.

1, 41

GCD of numbers is the greatest common divisor

So, the GCD (89, 82, 21, 41) = 1.

Given numbers are 89, 82, 21, 41

The list of prime factors of all numbers are

Prime factors of 89 are 89

Prime factors of 82 are 2 x 41

Prime factors of 21 are 3 x 7

Prime factors of 41 are 41

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

Given numbers are 89, 82, 21, 41

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

Apply this formula for all numbers.

Step1:

LCM(89, 82) = 7298

GCD(89, 82) = ( 89 x 82 ) / 7298

= 89 / 82

= 89

Step2:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1

Step3:

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

= 1 / 41

= 1

So, Greatest Common Divisor of 89, 82, 21, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 53, 77, 86
• GCD of 29, 39, 99, 44
• GCD of 44, 94, 49, 20
• GCD of 29, 80, 40, 32
• GCD of 23, 73, 77, 33

Given numbers are 89, 82, 21, 41
The greatest common divisor of numbers 89, 82, 21, 41 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 89, 82, 21, 41 is 1.

1. What is the GCD of 89, 82, 21, 41?

GCD of given numbers 89, 82, 21, 41 is 1

2. How to calculate the greatest common divisor of 89, 82, 21, 41?

We can find the highest common divisor of 89, 82, 21, 41 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 89, 82, 21, 41 i.e 1.

3. How can I use the GCD of 89, 82, 21, 41Calculator?

Out the numbers 89, 82, 21, 41 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.