GCD of 700, 498, 48, 556 Calculator

Given Input numbers are 700, 498, 48, 556

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

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 700, 498, 48, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 498, 48, 556 is 2.

Therefore, GCD of numbers 700, 498, 48, 556 is 2

Given Input Data is 700, 498, 48, 556

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

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 556 is 2 x 2 x 139

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(700, 498) = 174300

GCD(700, 498) = ( 700 x 498 ) / 174300

GCD(700, 498) = 348600 / 174300

GCD(700, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 700, 498, 48, 556 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 725, 30, 609
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• GCD of 798, 798, 91, 297
• GCD of 230, 132, 49, 835
• GCD of 695, 535, 39, 408

1. What is the GCD of 700, 498, 48, 556?

GCD of 700, 498, 48, 556 is 2

2. Where do I get the detailed procedure to find GCD of 700, 498, 48, 556?

You can find a detailed procedure to find GCD of 700, 498, 48, 556 on our page.

3. How to find GCD of 700, 498, 48, 556 on a calculator?

You can find the GCD of 700, 498, 48, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.