GCD of 608, 708, 78, 624 Calculator

Given Input numbers are 608, 708, 78, 624

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 608, 708, 78, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 708, 78, 624 is 2.

Therefore, GCD of numbers 608, 708, 78, 624 is 2

Given Input Data is 608, 708, 78, 624

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(608, 708) = 107616

GCD(608, 708) = ( 608 x 708 ) / 107616

GCD(608, 708) = 430464 / 107616

GCD(608, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 608, 708, 78, 624 is 2

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1. What is the GCD of 608, 708, 78, 624?

GCD of 608, 708, 78, 624 is 2

2. Where do I get the detailed procedure to find GCD of 608, 708, 78, 624?

You can find a detailed procedure to find GCD of 608, 708, 78, 624 on our page.

3. How to find GCD of 608, 708, 78, 624 on a calculator?

You can find the GCD of 608, 708, 78, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.