GCD of 316, 135, 87, 782 Calculator

Given Input numbers are 316, 135, 87, 782

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 87

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

1, 3, 29, 87

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 316, 135, 87, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 135, 87, 782 is 1.

Therefore, GCD of numbers 316, 135, 87, 782 is 1

Given Input Data is 316, 135, 87, 782

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 87 is 3 x 29

Prime Factorization of 782 is 2 x 17 x 23

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(316, 135) = 42660

GCD(316, 135) = ( 316 x 135 ) / 42660

GCD(316, 135) = 42660 / 42660

GCD(316, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 316, 135, 87, 782 is 1

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• GCD of 217, 441, 74, 438
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1. What is the GCD of 316, 135, 87, 782?

GCD of 316, 135, 87, 782 is 1

2. Where do I get the detailed procedure to find GCD of 316, 135, 87, 782?

You can find a detailed procedure to find GCD of 316, 135, 87, 782 on our page.

3. How to find GCD of 316, 135, 87, 782 on a calculator?

You can find the GCD of 316, 135, 87, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.