GCD of 70, 56, 48, 21 Calculator

Given Input numbers are 70, 56, 48, 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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 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, 56, 48, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 56, 48, 21 is 1.

Therefore, GCD of numbers 70, 56, 48, 21 is 1

Given Input Data is 70, 56, 48, 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 56 is 2 x 2 x 2 x 7

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

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, 56) = 280

GCD(70, 56) = ( 70 x 56 ) / 280

GCD(70, 56) = 3920 / 280

GCD(70, 56) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 48

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

LCM(14, 48) = 336

GCD(14, 48) = ( 14 x 48 ) / 336

GCD(14, 48) = 672 / 336

GCD(14, 48) = 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, 56, 48, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 76, 98, 62
• GCD of 36, 80, 22, 51
• GCD of 42, 80, 87, 26
• GCD of 75, 36, 36, 78
• GCD of 58, 69, 92, 88

1. What is the GCD of 70, 56, 48, 21?

GCD of 70, 56, 48, 21 is 1

2. Where do I get the detailed procedure to find GCD of 70, 56, 48, 21?

You can find a detailed procedure to find GCD of 70, 56, 48, 21 on our page.

3. How to find GCD of 70, 56, 48, 21 on a calculator?

You can find the GCD of 70, 56, 48, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.