GCD of 274, 886, 636, 735 Calculator

Given Input numbers are 274, 886, 636, 735

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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

Greatest Common Divisior

We found the divisors of 274, 886, 636, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 886, 636, 735 is 1.

Therefore, GCD of numbers 274, 886, 636, 735 is 1

Given Input Data is 274, 886, 636, 735

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 886 is 2 x 443

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

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(274, 886) = 121382

GCD(274, 886) = ( 274 x 886 ) / 121382

GCD(274, 886) = 242764 / 121382

GCD(274, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 274, 886, 636, 735 is 1

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1. What is the GCD of 274, 886, 636, 735?

GCD of 274, 886, 636, 735 is 1

2. Where do I get the detailed procedure to find GCD of 274, 886, 636, 735?

You can find a detailed procedure to find GCD of 274, 886, 636, 735 on our page.

3. How to find GCD of 274, 886, 636, 735 on a calculator?

You can find the GCD of 274, 886, 636, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.