GCD of 113, 653, 88, 346 Calculator

Given Input numbers are 113, 653, 88, 346

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 113, 653, 88, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 653, 88, 346 is 1.

Therefore, GCD of numbers 113, 653, 88, 346 is 1

Given Input Data is 113, 653, 88, 346

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

Prime Factorization of 113 is 113

Prime Factorization of 653 is 653

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 346 is 2 x 173

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(113, 653) = 73789

GCD(113, 653) = ( 113 x 653 ) / 73789

GCD(113, 653) = 73789 / 73789

GCD(113, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 113, 653, 88, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 124, 42, 239
• GCD of 297, 964, 82, 488
• GCD of 942, 527, 87, 483
• GCD of 882, 971, 46, 626
• GCD of 429, 831, 49, 402

1. What is the GCD of 113, 653, 88, 346?

GCD of 113, 653, 88, 346 is 1

2. Where do I get the detailed procedure to find GCD of 113, 653, 88, 346?

You can find a detailed procedure to find GCD of 113, 653, 88, 346 on our page.

3. How to find GCD of 113, 653, 88, 346 on a calculator?

You can find the GCD of 113, 653, 88, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.