GCD of 254, 930, 962, 552 Calculator

Given Input numbers are 254, 930, 962, 552

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 254, 930, 962, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 930, 962, 552 is 2.

Therefore, GCD of numbers 254, 930, 962, 552 is 2

Given Input Data is 254, 930, 962, 552

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(254, 930) = 118110

GCD(254, 930) = ( 254 x 930 ) / 118110

GCD(254, 930) = 236220 / 118110

GCD(254, 930) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

GCD of 254, 930, 962, 552 is 2

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1. What is the GCD of 254, 930, 962, 552?

GCD of 254, 930, 962, 552 is 2

2. Where do I get the detailed procedure to find GCD of 254, 930, 962, 552?

You can find a detailed procedure to find GCD of 254, 930, 962, 552 on our page.

3. How to find GCD of 254, 930, 962, 552 on a calculator?

You can find the GCD of 254, 930, 962, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.