GCD of 70, 31, 34, 45 Calculator

Given Input numbers are 70, 31, 34, 45

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 70, 31, 34, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 31, 34, 45 is 1.

Therefore, GCD of numbers 70, 31, 34, 45 is 1

Given Input Data is 70, 31, 34, 45

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 31 is 31

Prime Factorization of 34 is 2 x 17

Prime Factorization of 45 is 3 x 3 x 5

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(70, 31) = 2170

GCD(70, 31) = ( 70 x 31 ) / 2170

GCD(70, 31) = 2170 / 2170

GCD(70, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

GCD of 70, 31, 34, 45 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 72, 69, 33
• GCD of 86, 74, 51, 94
• GCD of 83, 35, 35, 90
• GCD of 33, 78, 93, 12
• GCD of 48, 72, 89, 75

1. What is the GCD of 70, 31, 34, 45?

GCD of 70, 31, 34, 45 is 1

2. Where do I get the detailed procedure to find GCD of 70, 31, 34, 45?

You can find a detailed procedure to find GCD of 70, 31, 34, 45 on our page.

3. How to find GCD of 70, 31, 34, 45 on a calculator?

You can find the GCD of 70, 31, 34, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.