GCD of 302, 488, 924, 700 Calculator

Given Input numbers are 302, 488, 924, 700

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 302, 488, 924, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 488, 924, 700 is 2.

Therefore, GCD of numbers 302, 488, 924, 700 is 2

Given Input Data is 302, 488, 924, 700

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(302, 488) = 73688

GCD(302, 488) = ( 302 x 488 ) / 73688

GCD(302, 488) = 147376 / 73688

GCD(302, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

GCD of 302, 488, 924, 700 is 2

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1. What is the GCD of 302, 488, 924, 700?

GCD of 302, 488, 924, 700 is 2

2. Where do I get the detailed procedure to find GCD of 302, 488, 924, 700?

You can find a detailed procedure to find GCD of 302, 488, 924, 700 on our page.

3. How to find GCD of 302, 488, 924, 700 on a calculator?

You can find the GCD of 302, 488, 924, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.