GCD of 742, 563, 14, 979 Calculator

Given Input numbers are 742, 563, 14, 979

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 14

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

1, 2, 7, 14

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 742, 563, 14, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 563, 14, 979 is 1.

Therefore, GCD of numbers 742, 563, 14, 979 is 1

Given Input Data is 742, 563, 14, 979

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 563 is 563

Prime Factorization of 14 is 2 x 7

Prime Factorization of 979 is 11 x 89

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, 563) = 417746

GCD(742, 563) = ( 742 x 563 ) / 417746

GCD(742, 563) = 417746 / 417746

GCD(742, 563) = 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 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 742, 563, 14, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 654, 15, 741
• GCD of 294, 246, 32, 285
• GCD of 118, 902, 67, 260
• GCD of 546, 602, 34, 941
• GCD of 196, 909, 27, 924

1. What is the GCD of 742, 563, 14, 979?

GCD of 742, 563, 14, 979 is 1

2. Where do I get the detailed procedure to find GCD of 742, 563, 14, 979?

You can find a detailed procedure to find GCD of 742, 563, 14, 979 on our page.

3. How to find GCD of 742, 563, 14, 979 on a calculator?

You can find the GCD of 742, 563, 14, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.