GCD of 428, 654, 962 Calculator

Given Input numbers are 428, 654, 962

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 962

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

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

Greatest Common Divisior

We found the divisors of 428, 654, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 654, 962 is 2.

Therefore, GCD of numbers 428, 654, 962 is 2

Given Input Data is 428, 654, 962

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 962 is 2 x 13 x 37

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(428, 654) = 139956

GCD(428, 654) = ( 428 x 654 ) / 139956

GCD(428, 654) = 279912 / 139956

GCD(428, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

GCD of 428, 654, 962 is 2

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1. What is the GCD of 428, 654, 962?

GCD of 428, 654, 962 is 2

2. Where do I get the detailed procedure to find GCD of 428, 654, 962?

You can find a detailed procedure to find GCD of 428, 654, 962 on our page.

3. How to find GCD of 428, 654, 962 on a calculator?

You can find the GCD of 428, 654, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.