GCD of 318, 700, 916, 316 Calculator

Given Input numbers are 318, 700, 916, 316

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 316

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

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 318, 700, 916, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 700, 916, 316 is 2.

Therefore, GCD of numbers 318, 700, 916, 316 is 2

Given Input Data is 318, 700, 916, 316

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 316 is 2 x 2 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(318, 700) = 111300

GCD(318, 700) = ( 318 x 700 ) / 111300

GCD(318, 700) = 222600 / 111300

GCD(318, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 318, 700, 916, 316 is 2

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1. What is the GCD of 318, 700, 916, 316?

GCD of 318, 700, 916, 316 is 2

2. Where do I get the detailed procedure to find GCD of 318, 700, 916, 316?

You can find a detailed procedure to find GCD of 318, 700, 916, 316 on our page.

3. How to find GCD of 318, 700, 916, 316 on a calculator?

You can find the GCD of 318, 700, 916, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.