GCD of 515, 420, 10, 661 Calculator

Given Input numbers are 515, 420, 10, 661

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 10

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

1, 2, 5, 10

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 515, 420, 10, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 420, 10, 661 is 1.

Therefore, GCD of numbers 515, 420, 10, 661 is 1

Given Input Data is 515, 420, 10, 661

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 661 is 661

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(515, 420) = 43260

GCD(515, 420) = ( 515 x 420 ) / 43260

GCD(515, 420) = 216300 / 43260

GCD(515, 420) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 10

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

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

GCD(5, 10) = 50 / 10

GCD(5, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 661

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

LCM(5, 661) = 3305

GCD(5, 661) = ( 5 x 661 ) / 3305

GCD(5, 661) = 3305 / 3305

GCD(5, 661) = 1

GCD of 515, 420, 10, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 227, 24, 701
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• GCD of 289, 876, 45, 145

1. What is the GCD of 515, 420, 10, 661?

GCD of 515, 420, 10, 661 is 1

2. Where do I get the detailed procedure to find GCD of 515, 420, 10, 661?

You can find a detailed procedure to find GCD of 515, 420, 10, 661 on our page.

3. How to find GCD of 515, 420, 10, 661 on a calculator?

You can find the GCD of 515, 420, 10, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.