GCD of 88, 105, 755, 116 Calculator

Given Input numbers are 88, 105, 755, 116

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

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 88, 105, 755, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 105, 755, 116 is 1.

Therefore, GCD of numbers 88, 105, 755, 116 is 1

Given Input Data is 88, 105, 755, 116

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

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 755 is 5 x 151

Prime Factorization of 116 is 2 x 2 x 29

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(88, 105) = 9240

GCD(88, 105) = ( 88 x 105 ) / 9240

GCD(88, 105) = 9240 / 9240

GCD(88, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 88, 105, 755, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 545, 970, 296
• GCD of 59, 835, 923, 158
• GCD of 63, 174, 482, 670
• GCD of 22, 971, 586, 446
• GCD of 92, 638, 222, 535

1. What is the GCD of 88, 105, 755, 116?

GCD of 88, 105, 755, 116 is 1

2. Where do I get the detailed procedure to find GCD of 88, 105, 755, 116?

You can find a detailed procedure to find GCD of 88, 105, 755, 116 on our page.

3. How to find GCD of 88, 105, 755, 116 on a calculator?

You can find the GCD of 88, 105, 755, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.