GCD of 742, 878, 756, 111 Calculator

Given Input numbers are 742, 878, 756, 111

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 111

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

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 742, 878, 756, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 878, 756, 111 is 1.

Therefore, GCD of numbers 742, 878, 756, 111 is 1

Given Input Data is 742, 878, 756, 111

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 878 is 2 x 439

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 111 is 3 x 37

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(742, 878) = 325738

GCD(742, 878) = ( 742 x 878 ) / 325738

GCD(742, 878) = 651476 / 325738

GCD(742, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 111

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

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

GCD(2, 111) = 222 / 222

GCD(2, 111) = 1

GCD of 742, 878, 756, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 142, 172, 321
• GCD of 226, 239, 263, 912
• GCD of 287, 226, 197, 278
• GCD of 855, 195, 170, 421
• GCD of 134, 971, 268, 476

1. What is the GCD of 742, 878, 756, 111?

GCD of 742, 878, 756, 111 is 1

2. Where do I get the detailed procedure to find GCD of 742, 878, 756, 111?

You can find a detailed procedure to find GCD of 742, 878, 756, 111 on our page.

3. How to find GCD of 742, 878, 756, 111 on a calculator?

You can find the GCD of 742, 878, 756, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.