GCD of 10, 67, 49, 72 Calculator

Given Input numbers are 10, 67, 49, 72

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 10, 67, 49, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 67, 49, 72 is 1.

Therefore, GCD of numbers 10, 67, 49, 72 is 1

Given Input Data is 10, 67, 49, 72

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 67 is 67

Prime Factorization of 49 is 7 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(10, 67) = 670

GCD(10, 67) = ( 10 x 67 ) / 670

GCD(10, 67) = 670 / 670

GCD(10, 67) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 10, 67, 49, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 70, 76, 14
• GCD of 46, 51, 66, 36
• GCD of 51, 15, 34, 51
• GCD of 88, 53, 78, 21
• GCD of 43, 18, 12, 67

1. What is the GCD of 10, 67, 49, 72?

GCD of 10, 67, 49, 72 is 1

2. Where do I get the detailed procedure to find GCD of 10, 67, 49, 72?

You can find a detailed procedure to find GCD of 10, 67, 49, 72 on our page.

3. How to find GCD of 10, 67, 49, 72 on a calculator?

You can find the GCD of 10, 67, 49, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.