GCD of 87, 615, 414, 953 Calculator

Given Input numbers are 87, 615, 414, 953

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 87, 615, 414, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 615, 414, 953 is 1.

Therefore, GCD of numbers 87, 615, 414, 953 is 1

Given Input Data is 87, 615, 414, 953

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 953 is 953

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(87, 615) = 17835

GCD(87, 615) = ( 87 x 615 ) / 17835

GCD(87, 615) = 53505 / 17835

GCD(87, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 414

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

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

GCD(3, 414) = 1242 / 414

GCD(3, 414) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 953

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

LCM(3, 953) = 2859

GCD(3, 953) = ( 3 x 953 ) / 2859

GCD(3, 953) = 2859 / 2859

GCD(3, 953) = 1

GCD of 87, 615, 414, 953 is 1

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1. What is the GCD of 87, 615, 414, 953?

GCD of 87, 615, 414, 953 is 1

2. Where do I get the detailed procedure to find GCD of 87, 615, 414, 953?

You can find a detailed procedure to find GCD of 87, 615, 414, 953 on our page.

3. How to find GCD of 87, 615, 414, 953 on a calculator?

You can find the GCD of 87, 615, 414, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.