GCD of 600, 434, 699, 948 Calculator

Given Input numbers are 600, 434, 699, 948

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

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 600, 434, 699, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 434, 699, 948 is 1.

Therefore, GCD of numbers 600, 434, 699, 948 is 1

Given Input Data is 600, 434, 699, 948

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

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 699 is 3 x 233

Prime Factorization of 948 is 2 x 2 x 3 x 79

The above numbers do not have any common prime factor. So GCD is 1

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(600, 434) = 130200

GCD(600, 434) = ( 600 x 434 ) / 130200

GCD(600, 434) = 260400 / 130200

GCD(600, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 600, 434, 699, 948 is 1

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1. What is the GCD of 600, 434, 699, 948?

GCD of 600, 434, 699, 948 is 1

2. Where do I get the detailed procedure to find GCD of 600, 434, 699, 948?

You can find a detailed procedure to find GCD of 600, 434, 699, 948 on our page.

3. How to find GCD of 600, 434, 699, 948 on a calculator?

You can find the GCD of 600, 434, 699, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.