GCD of 118, 110, 764, 880 Calculator

Given Input numbers are 118, 110, 764, 880

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

Divisors of 118

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

1, 2, 59, 118

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 118, 110, 764, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 110, 764, 880 is 2.

Therefore, GCD of numbers 118, 110, 764, 880 is 2

Given Input Data is 118, 110, 764, 880

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(118, 110) = 6490

GCD(118, 110) = ( 118 x 110 ) / 6490

GCD(118, 110) = 12980 / 6490

GCD(118, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 880

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

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

GCD(2, 880) = 1760 / 880

GCD(2, 880) = 2

GCD of 118, 110, 764, 880 is 2

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1. What is the GCD of 118, 110, 764, 880?

GCD of 118, 110, 764, 880 is 2

2. Where do I get the detailed procedure to find GCD of 118, 110, 764, 880?

You can find a detailed procedure to find GCD of 118, 110, 764, 880 on our page.

3. How to find GCD of 118, 110, 764, 880 on a calculator?

You can find the GCD of 118, 110, 764, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.