GCD of 748, 110, 670 Calculator

Given Input numbers are 748, 110, 670

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 748, 110, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 110, 670 is 2.

Therefore, GCD of numbers 748, 110, 670 is 2

Given Input Data is 748, 110, 670

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 670 is 2 x 5 x 67

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(748, 110) = 3740

GCD(748, 110) = ( 748 x 110 ) / 3740

GCD(748, 110) = 82280 / 3740

GCD(748, 110) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 670

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

LCM(22, 670) = 7370

GCD(22, 670) = ( 22 x 670 ) / 7370

GCD(22, 670) = 14740 / 7370

GCD(22, 670) = 2

GCD of 748, 110, 670 is 2

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1. What is the GCD of 748, 110, 670?

GCD of 748, 110, 670 is 2

2. Where do I get the detailed procedure to find GCD of 748, 110, 670?

You can find a detailed procedure to find GCD of 748, 110, 670 on our page.

3. How to find GCD of 748, 110, 670 on a calculator?

You can find the GCD of 748, 110, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.