GCD of 264, 357, 85, 316 Calculator

Given Input numbers are 264, 357, 85, 316

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 264, 357, 85, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 357, 85, 316 is 1.

Therefore, GCD of numbers 264, 357, 85, 316 is 1

Given Input Data is 264, 357, 85, 316

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 85 is 5 x 17

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(264, 357) = 31416

GCD(264, 357) = ( 264 x 357 ) / 31416

GCD(264, 357) = 94248 / 31416

GCD(264, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 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 264, 357, 85, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 566, 40, 720
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• GCD of 648, 211, 26, 600
• GCD of 416, 843, 52, 223
• GCD of 381, 807, 48, 192

1. What is the GCD of 264, 357, 85, 316?

GCD of 264, 357, 85, 316 is 1

2. Where do I get the detailed procedure to find GCD of 264, 357, 85, 316?

You can find a detailed procedure to find GCD of 264, 357, 85, 316 on our page.

3. How to find GCD of 264, 357, 85, 316 on a calculator?

You can find the GCD of 264, 357, 85, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.