GCD of 70, 14, 10, 21 Calculator

Given Input numbers are 70, 14, 10, 21

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 21

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

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 70, 14, 10, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 14, 10, 21 is 1.

Therefore, GCD of numbers 70, 14, 10, 21 is 1

Given Input Data is 70, 14, 10, 21

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 14 is 2 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 21 is 3 x 7

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, 14) = 70

GCD(70, 14) = ( 70 x 14 ) / 70

GCD(70, 14) = 980 / 70

GCD(70, 14) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 10

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

LCM(14, 10) = 70

GCD(14, 10) = ( 14 x 10 ) / 70

GCD(14, 10) = 140 / 70

GCD(14, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

GCD of 70, 14, 10, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 24, 96, 18
• GCD of 76, 71, 16, 68
• GCD of 33, 93, 98, 61
• GCD of 78, 35, 16, 63
• GCD of 34, 37, 76, 63

1. What is the GCD of 70, 14, 10, 21?

GCD of 70, 14, 10, 21 is 1

2. Where do I get the detailed procedure to find GCD of 70, 14, 10, 21?

You can find a detailed procedure to find GCD of 70, 14, 10, 21 on our page.

3. How to find GCD of 70, 14, 10, 21 on a calculator?

You can find the GCD of 70, 14, 10, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.