GCD of 605, 710, 20, 760 Calculator

Given Input numbers are 605, 710, 20, 760

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 605, 710, 20, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 710, 20, 760 is 5.

Therefore, GCD of numbers 605, 710, 20, 760 is 5

Given Input Data is 605, 710, 20, 760

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 20 is 2 x 2 x 5

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(605, 710) = 85910

GCD(605, 710) = ( 605 x 710 ) / 85910

GCD(605, 710) = 429550 / 85910

GCD(605, 710) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 20

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

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

GCD(5, 20) = 100 / 20

GCD(5, 20) = 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 605, 710, 20, 760 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 634, 32, 955
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• GCD of 644, 646, 24, 518
• GCD of 444, 229, 54, 584
• GCD of 373, 968, 65, 117

1. What is the GCD of 605, 710, 20, 760?

GCD of 605, 710, 20, 760 is 5

2. Where do I get the detailed procedure to find GCD of 605, 710, 20, 760?

You can find a detailed procedure to find GCD of 605, 710, 20, 760 on our page.

3. How to find GCD of 605, 710, 20, 760 on a calculator?

You can find the GCD of 605, 710, 20, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.