GCD of 60, 90, 65, 49 Calculator

Given Input numbers are 60, 90, 65, 49

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

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 49

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

1, 7, 49

Greatest Common Divisior

We found the divisors of 60, 90, 65, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 90, 65, 49 is 1.

Therefore, GCD of numbers 60, 90, 65, 49 is 1

Given Input Data is 60, 90, 65, 49

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 65 is 5 x 13

Prime Factorization of 49 is 7 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(60, 90) = 180

GCD(60, 90) = ( 60 x 90 ) / 180

GCD(60, 90) = 5400 / 180

GCD(60, 90) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 65

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

LCM(30, 65) = 390

GCD(30, 65) = ( 30 x 65 ) / 390

GCD(30, 65) = 1950 / 390

GCD(30, 65) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

GCD of 60, 90, 65, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 19, 75, 37
• GCD of 45, 92, 72, 36
• GCD of 16, 51, 64, 21
• GCD of 85, 13, 95, 88
• GCD of 18, 12, 68, 74

1. What is the GCD of 60, 90, 65, 49?

GCD of 60, 90, 65, 49 is 1

2. Where do I get the detailed procedure to find GCD of 60, 90, 65, 49?

You can find a detailed procedure to find GCD of 60, 90, 65, 49 on our page.

3. How to find GCD of 60, 90, 65, 49 on a calculator?

You can find the GCD of 60, 90, 65, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.