GCD of 70, 21, 15, 41 Calculator

Given Input numbers are 70, 21, 15, 41

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 70, 21, 15, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 21, 15, 41 is 1.

Therefore, GCD of numbers 70, 21, 15, 41 is 1

Given Input Data is 70, 21, 15, 41

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 21 is 3 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 41 is 41

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, 21) = 210

GCD(70, 21) = ( 70 x 21 ) / 210

GCD(70, 21) = 1470 / 210

GCD(70, 21) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 15

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

LCM(7, 15) = 105

GCD(7, 15) = ( 7 x 15 ) / 105

GCD(7, 15) = 105 / 105

GCD(7, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

GCD of 70, 21, 15, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 89, 40, 87
• GCD of 39, 52, 96, 44
• GCD of 67, 13, 50, 11
• GCD of 17, 33, 33, 79
• GCD of 92, 43, 70, 58

1. What is the GCD of 70, 21, 15, 41?

GCD of 70, 21, 15, 41 is 1

2. Where do I get the detailed procedure to find GCD of 70, 21, 15, 41?

You can find a detailed procedure to find GCD of 70, 21, 15, 41 on our page.

3. How to find GCD of 70, 21, 15, 41 on a calculator?

You can find the GCD of 70, 21, 15, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.