GCD of 918, 354, 77, 316 Calculator

Given Input numbers are 918, 354, 77, 316

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 918, 354, 77, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 354, 77, 316 is 1.

Therefore, GCD of numbers 918, 354, 77, 316 is 1

Given Input Data is 918, 354, 77, 316

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 77 is 7 x 11

Prime Factorization of 316 is 2 x 2 x 79

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(918, 354) = 54162

GCD(918, 354) = ( 918 x 354 ) / 54162

GCD(918, 354) = 324972 / 54162

GCD(918, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 77

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

LCM(6, 77) = 462

GCD(6, 77) = ( 6 x 77 ) / 462

GCD(6, 77) = 462 / 462

GCD(6, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 918, 354, 77, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 139, 64, 202
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• GCD of 584, 785, 74, 833

1. What is the GCD of 918, 354, 77, 316?

GCD of 918, 354, 77, 316 is 1

2. Where do I get the detailed procedure to find GCD of 918, 354, 77, 316?

You can find a detailed procedure to find GCD of 918, 354, 77, 316 on our page.

3. How to find GCD of 918, 354, 77, 316 on a calculator?

You can find the GCD of 918, 354, 77, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.