GCD of 40, 70, 48, 89 Calculator

Given Input numbers are 40, 70, 48, 89

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 40, 70, 48, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 70, 48, 89 is 1.

Therefore, GCD of numbers 40, 70, 48, 89 is 1

Given Input Data is 40, 70, 48, 89

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 89 is 89

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(40, 70) = 280

GCD(40, 70) = ( 40 x 70 ) / 280

GCD(40, 70) = 2800 / 280

GCD(40, 70) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 48

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

LCM(10, 48) = 240

GCD(10, 48) = ( 10 x 48 ) / 240

GCD(10, 48) = 480 / 240

GCD(10, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

GCD of 40, 70, 48, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 17, 21, 84
• GCD of 54, 38, 38, 37
• GCD of 20, 69, 75, 76
• GCD of 56, 41, 98, 18
• GCD of 91, 55, 76, 85

1. What is the GCD of 40, 70, 48, 89?

GCD of 40, 70, 48, 89 is 1

2. Where do I get the detailed procedure to find GCD of 40, 70, 48, 89?

You can find a detailed procedure to find GCD of 40, 70, 48, 89 on our page.

3. How to find GCD of 40, 70, 48, 89 on a calculator?

You can find the GCD of 40, 70, 48, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.