GCD of 20, 15, 10, 71 Calculator

Given Input numbers are 20, 15, 10, 71

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

Divisors of 20 :

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

1, 2, 4, 5, 10, 20

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

GCD of numbers is the greatest common divisor

So, the GCD (20, 15, 10, 71) = 1.

Given numbers are 20, 15, 10, 71

The list of prime factors of all numbers are

Prime factors of 20 are 2 x 2 x 5

Prime factors of 15 are 3 x 5

Prime factors of 10 are 2 x 5

Prime factors of 71 are 71

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

Given numbers are 20, 15, 10, 71

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

Apply this formula for all numbers.

Step1:

LCM(20, 15) = 60

GCD(20, 15) = ( 20 x 15 ) / 60

= 20 / 15

= 20

Step2:

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

= 5 / 10

= 5

Step3:

LCM(5, 71) = 355

GCD(5, 71) = ( 5 x 71 ) / 355

= 5 / 71

= 5

So, Greatest Common Divisor of 20, 15, 10, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 89, 83, 33
• GCD of 57, 11, 57, 73
• GCD of 56, 68, 22, 42
• GCD of 35, 20, 27, 78
• GCD of 17, 91, 89, 68

Given numbers are 20, 15, 10, 71
The greatest common divisor of numbers 20, 15, 10, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 20, 15, 10, 71 is 1.

1. What is the GCD of 20, 15, 10, 71?

GCD of given numbers 20, 15, 10, 71 is 1

2. How to calculate the greatest common divisor of 20, 15, 10, 71?

We can find the highest common divisor of 20, 15, 10, 71 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 20, 15, 10, 71 i.e 1.

3. How can I use the GCD of 20, 15, 10, 71Calculator?

Out the numbers 20, 15, 10, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.