GCD of 634, 552, 74, 954 Calculator

Given Input numbers are 634, 552, 74, 954

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 634, 552, 74, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 552, 74, 954 is 2.

Therefore, GCD of numbers 634, 552, 74, 954 is 2

Given Input Data is 634, 552, 74, 954

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

Prime Factorization of 634 is 2 x 317

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 954 is 2 x 3 x 3 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(634, 552) = 174984

GCD(634, 552) = ( 634 x 552 ) / 174984

GCD(634, 552) = 349968 / 174984

GCD(634, 552) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 634, 552, 74, 954 is 2

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1. What is the GCD of 634, 552, 74, 954?

GCD of 634, 552, 74, 954 is 2

2. Where do I get the detailed procedure to find GCD of 634, 552, 74, 954?

You can find a detailed procedure to find GCD of 634, 552, 74, 954 on our page.

3. How to find GCD of 634, 552, 74, 954 on a calculator?

You can find the GCD of 634, 552, 74, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.