GCD of 500, 970, 60, 495 Calculator

Given Input numbers are 500, 970, 60, 495

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 500, 970, 60, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 970, 60, 495 is 5.

Therefore, GCD of numbers 500, 970, 60, 495 is 5

Given Input Data is 500, 970, 60, 495

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 970 is 2 x 5 x 97

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(500, 970) = 48500

GCD(500, 970) = ( 500 x 970 ) / 48500

GCD(500, 970) = 485000 / 48500

GCD(500, 970) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 60

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

LCM(10, 60) = 60

GCD(10, 60) = ( 10 x 60 ) / 60

GCD(10, 60) = 600 / 60

GCD(10, 60) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 495

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

LCM(10, 495) = 990

GCD(10, 495) = ( 10 x 495 ) / 990

GCD(10, 495) = 4950 / 990

GCD(10, 495) = 5

GCD of 500, 970, 60, 495 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 902, 17, 948
• GCD of 135, 629, 16, 694
• GCD of 800, 928, 49, 441
• GCD of 569, 666, 56, 502
• GCD of 253, 143, 55, 564

1. What is the GCD of 500, 970, 60, 495?

GCD of 500, 970, 60, 495 is 5

2. Where do I get the detailed procedure to find GCD of 500, 970, 60, 495?

You can find a detailed procedure to find GCD of 500, 970, 60, 495 on our page.

3. How to find GCD of 500, 970, 60, 495 on a calculator?

You can find the GCD of 500, 970, 60, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.