GCD of 354, 616, 778, 600 Calculator

Given Input numbers are 354, 616, 778, 600

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 354, 616, 778, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 616, 778, 600 is 2.

Therefore, GCD of numbers 354, 616, 778, 600 is 2

Given Input Data is 354, 616, 778, 600

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 778 is 2 x 389

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(354, 616) = 109032

GCD(354, 616) = ( 354 x 616 ) / 109032

GCD(354, 616) = 218064 / 109032

GCD(354, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 354, 616, 778, 600 is 2

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1. What is the GCD of 354, 616, 778, 600?

GCD of 354, 616, 778, 600 is 2

2. Where do I get the detailed procedure to find GCD of 354, 616, 778, 600?

You can find a detailed procedure to find GCD of 354, 616, 778, 600 on our page.

3. How to find GCD of 354, 616, 778, 600 on a calculator?

You can find the GCD of 354, 616, 778, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.