GCD of 70, 60, 75, 59 Calculator

Given Input numbers are 70, 60, 75, 59

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 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 70, 60, 75, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 60, 75, 59 is 1.

Therefore, GCD of numbers 70, 60, 75, 59 is 1

Given Input Data is 70, 60, 75, 59

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 60 is 2 x 2 x 3 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 59 is 59

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, 60) = 420

GCD(70, 60) = ( 70 x 60 ) / 420

GCD(70, 60) = 4200 / 420

GCD(70, 60) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 75

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

LCM(10, 75) = 150

GCD(10, 75) = ( 10 x 75 ) / 150

GCD(10, 75) = 750 / 150

GCD(10, 75) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 59

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

LCM(5, 59) = 295

GCD(5, 59) = ( 5 x 59 ) / 295

GCD(5, 59) = 295 / 295

GCD(5, 59) = 1

GCD of 70, 60, 75, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 79, 75, 98
• GCD of 64, 80, 15, 81
• GCD of 58, 99, 55, 69
• GCD of 45, 58, 96, 40
• GCD of 12, 61, 32, 34

1. What is the GCD of 70, 60, 75, 59?

GCD of 70, 60, 75, 59 is 1

2. Where do I get the detailed procedure to find GCD of 70, 60, 75, 59?

You can find a detailed procedure to find GCD of 70, 60, 75, 59 on our page.

3. How to find GCD of 70, 60, 75, 59 on a calculator?

You can find the GCD of 70, 60, 75, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.