GCD of 962, 654, 14, 742 Calculator

Given Input numbers are 962, 654, 14, 742

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 14

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

1, 2, 7, 14

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 962, 654, 14, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 654, 14, 742 is 2.

Therefore, GCD of numbers 962, 654, 14, 742 is 2

Given Input Data is 962, 654, 14, 742

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 14 is 2 x 7

Prime Factorization of 742 is 2 x 7 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(962, 654) = 314574

GCD(962, 654) = ( 962 x 654 ) / 314574

GCD(962, 654) = 629148 / 314574

GCD(962, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 962, 654, 14, 742 is 2

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1. What is the GCD of 962, 654, 14, 742?

GCD of 962, 654, 14, 742 is 2

2. Where do I get the detailed procedure to find GCD of 962, 654, 14, 742?

You can find a detailed procedure to find GCD of 962, 654, 14, 742 on our page.

3. How to find GCD of 962, 654, 14, 742 on a calculator?

You can find the GCD of 962, 654, 14, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.