GCD of 111, 919, 681, 400 Calculator

Given Input numbers are 111, 919, 681, 400

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 111, 919, 681, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 919, 681, 400 is 1.

Therefore, GCD of numbers 111, 919, 681, 400 is 1

Given Input Data is 111, 919, 681, 400

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 919 is 919

Prime Factorization of 681 is 3 x 227

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(111, 919) = 102009

GCD(111, 919) = ( 111 x 919 ) / 102009

GCD(111, 919) = 102009 / 102009

GCD(111, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 111, 919, 681, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 252, 392, 144
• GCD of 260, 875, 382, 711
• GCD of 932, 308, 609, 601
• GCD of 325, 881, 972, 993
• GCD of 666, 256, 347, 494

1. What is the GCD of 111, 919, 681, 400?

GCD of 111, 919, 681, 400 is 1

2. Where do I get the detailed procedure to find GCD of 111, 919, 681, 400?

You can find a detailed procedure to find GCD of 111, 919, 681, 400 on our page.

3. How to find GCD of 111, 919, 681, 400 on a calculator?

You can find the GCD of 111, 919, 681, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.