GCD of 426, 735, 888, 118 Calculator

Given Input numbers are 426, 735, 888, 118

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 426, 735, 888, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 735, 888, 118 is 1.

Therefore, GCD of numbers 426, 735, 888, 118 is 1

Given Input Data is 426, 735, 888, 118

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

Prime Factorization of 426 is 2 x 3 x 71

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 118 is 2 x 59

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(426, 735) = 104370

GCD(426, 735) = ( 426 x 735 ) / 104370

GCD(426, 735) = 313110 / 104370

GCD(426, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 888

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

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

GCD(3, 888) = 2664 / 888

GCD(3, 888) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 118

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

LCM(3, 118) = 354

GCD(3, 118) = ( 3 x 118 ) / 354

GCD(3, 118) = 354 / 354

GCD(3, 118) = 1

GCD of 426, 735, 888, 118 is 1

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1. What is the GCD of 426, 735, 888, 118?

GCD of 426, 735, 888, 118 is 1

2. Where do I get the detailed procedure to find GCD of 426, 735, 888, 118?

You can find a detailed procedure to find GCD of 426, 735, 888, 118 on our page.

3. How to find GCD of 426, 735, 888, 118 on a calculator?

You can find the GCD of 426, 735, 888, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.