GCD of 742, 121, 14, 860 Calculator

Given Input numbers are 742, 121, 14, 860

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 742, 121, 14, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 121, 14, 860 is 1.

Therefore, GCD of numbers 742, 121, 14, 860 is 1

Given Input Data is 742, 121, 14, 860

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 121 is 11 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 860 is 2 x 2 x 5 x 43

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, 121) = 89782

GCD(742, 121) = ( 742 x 121 ) / 89782

GCD(742, 121) = 89782 / 89782

GCD(742, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 742, 121, 14, 860 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 767, 42, 153
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1. What is the GCD of 742, 121, 14, 860?

GCD of 742, 121, 14, 860 is 1

2. Where do I get the detailed procedure to find GCD of 742, 121, 14, 860?

You can find a detailed procedure to find GCD of 742, 121, 14, 860 on our page.

3. How to find GCD of 742, 121, 14, 860 on a calculator?

You can find the GCD of 742, 121, 14, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.