GCD of 71, 75, 85, 31 Calculator

Given Input numbers are 71, 75, 85, 31

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

Divisors of 71 :

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

1, 71

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

GCD of numbers is the greatest common divisor

So, the GCD (71, 75, 85, 31) = 1.

Given numbers are 71, 75, 85, 31

The list of prime factors of all numbers are

Prime factors of 71 are 71

Prime factors of 75 are 3 x 5 x 5

Prime factors of 85 are 5 x 17

Prime factors of 31 are 31

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

Given numbers are 71, 75, 85, 31

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

Apply this formula for all numbers.

Step1:

LCM(71, 75) = 5325

GCD(71, 75) = ( 71 x 75 ) / 5325

= 71 / 75

= 71

Step2:

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

= 1 / 85

= 1

Step3:

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

= 1 / 31

= 1

So, Greatest Common Divisor of 71, 75, 85, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 61, 41, 19
• GCD of 13, 23, 33, 39
• GCD of 81, 10, 41, 45
• GCD of 22, 72, 69, 62
• GCD of 54, 52, 80, 68

Given numbers are 71, 75, 85, 31
The greatest common divisor of numbers 71, 75, 85, 31 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 71, 75, 85, 31 is 1.

1. What is the GCD of 71, 75, 85, 31?

GCD of given numbers 71, 75, 85, 31 is 1

2. How to calculate the greatest common divisor of 71, 75, 85, 31?

We can find the highest common divisor of 71, 75, 85, 31 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 71, 75, 85, 31 i.e 1.

3. How can I use the GCD of 71, 75, 85, 31Calculator?

Out the numbers 71, 75, 85, 31 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.