GCD of 112, 660, 740, 889 Calculator

Given Input numbers are 112, 660, 740, 889

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 112, 660, 740, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 660, 740, 889 is 1.

Therefore, GCD of numbers 112, 660, 740, 889 is 1

Given Input Data is 112, 660, 740, 889

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 889 is 7 x 127

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(112, 660) = 18480

GCD(112, 660) = ( 112 x 660 ) / 18480

GCD(112, 660) = 73920 / 18480

GCD(112, 660) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 740

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

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

GCD(4, 740) = 2960 / 740

GCD(4, 740) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 889

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

LCM(4, 889) = 3556

GCD(4, 889) = ( 4 x 889 ) / 3556

GCD(4, 889) = 3556 / 3556

GCD(4, 889) = 1

GCD of 112, 660, 740, 889 is 1

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1. What is the GCD of 112, 660, 740, 889?

GCD of 112, 660, 740, 889 is 1

2. Where do I get the detailed procedure to find GCD of 112, 660, 740, 889?

You can find a detailed procedure to find GCD of 112, 660, 740, 889 on our page.

3. How to find GCD of 112, 660, 740, 889 on a calculator?

You can find the GCD of 112, 660, 740, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.