GCD of 735, 318, 86, 553 Calculator

Given Input numbers are 735, 318, 86, 553

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 735, 318, 86, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 318, 86, 553 is 1.

Therefore, GCD of numbers 735, 318, 86, 553 is 1

Given Input Data is 735, 318, 86, 553

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 86 is 2 x 43

Prime Factorization of 553 is 7 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(735, 318) = 77910

GCD(735, 318) = ( 735 x 318 ) / 77910

GCD(735, 318) = 233730 / 77910

GCD(735, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 735, 318, 86, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 288, 83, 596
• GCD of 318, 385, 35, 514
• GCD of 523, 674, 87, 954
• GCD of 216, 208, 55, 572
• GCD of 125, 456, 48, 171

1. What is the GCD of 735, 318, 86, 553?

GCD of 735, 318, 86, 553 is 1

2. Where do I get the detailed procedure to find GCD of 735, 318, 86, 553?

You can find a detailed procedure to find GCD of 735, 318, 86, 553 on our page.

3. How to find GCD of 735, 318, 86, 553 on a calculator?

You can find the GCD of 735, 318, 86, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.