GCD of 60, 555, 820, 760 Calculator

Given Input numbers are 60, 555, 820, 760

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 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 60, 555, 820, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 555, 820, 760 is 5.

Therefore, GCD of numbers 60, 555, 820, 760 is 5

Given Input Data is 60, 555, 820, 760

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 555 is 3 x 5 x 37

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(60, 555) = 2220

GCD(60, 555) = ( 60 x 555 ) / 2220

GCD(60, 555) = 33300 / 2220

GCD(60, 555) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 820

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

LCM(15, 820) = 2460

GCD(15, 820) = ( 15 x 820 ) / 2460

GCD(15, 820) = 12300 / 2460

GCD(15, 820) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 760

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

LCM(5, 760) = 760

GCD(5, 760) = ( 5 x 760 ) / 760

GCD(5, 760) = 3800 / 760

GCD(5, 760) = 5

GCD of 60, 555, 820, 760 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 141, 576, 708
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• GCD of 23, 187, 835, 725
• GCD of 69, 992, 402, 730

1. What is the GCD of 60, 555, 820, 760?

GCD of 60, 555, 820, 760 is 5

2. Where do I get the detailed procedure to find GCD of 60, 555, 820, 760?

You can find a detailed procedure to find GCD of 60, 555, 820, 760 on our page.

3. How to find GCD of 60, 555, 820, 760 on a calculator?

You can find the GCD of 60, 555, 820, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.