GCD of 708, 896, 954, 602 Calculator

Given Input numbers are 708, 896, 954, 602

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 708, 896, 954, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 896, 954, 602 is 2.

Therefore, GCD of numbers 708, 896, 954, 602 is 2

Given Input Data is 708, 896, 954, 602

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 602 is 2 x 7 x 43

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(708, 896) = 158592

GCD(708, 896) = ( 708 x 896 ) / 158592

GCD(708, 896) = 634368 / 158592

GCD(708, 896) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 954

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

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

GCD(4, 954) = 3816 / 1908

GCD(4, 954) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

GCD of 708, 896, 954, 602 is 2

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1. What is the GCD of 708, 896, 954, 602?

GCD of 708, 896, 954, 602 is 2

2. Where do I get the detailed procedure to find GCD of 708, 896, 954, 602?

You can find a detailed procedure to find GCD of 708, 896, 954, 602 on our page.

3. How to find GCD of 708, 896, 954, 602 on a calculator?

You can find the GCD of 708, 896, 954, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.