GCD of 100, 741, 45, 889 Calculator

Given Input numbers are 100, 741, 45, 889

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 100, 741, 45, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 741, 45, 889 is 1.

Therefore, GCD of numbers 100, 741, 45, 889 is 1

Given Input Data is 100, 741, 45, 889

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 45 is 3 x 3 x 5

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(100, 741) = 74100

GCD(100, 741) = ( 100 x 741 ) / 74100

GCD(100, 741) = 74100 / 74100

GCD(100, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 100, 741, 45, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 845, 41, 909
• GCD of 755, 126, 99, 673
• GCD of 896, 312, 89, 111
• GCD of 623, 951, 32, 407
• GCD of 462, 799, 82, 161

1. What is the GCD of 100, 741, 45, 889?

GCD of 100, 741, 45, 889 is 1

2. Where do I get the detailed procedure to find GCD of 100, 741, 45, 889?

You can find a detailed procedure to find GCD of 100, 741, 45, 889 on our page.

3. How to find GCD of 100, 741, 45, 889 on a calculator?

You can find the GCD of 100, 741, 45, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.