GCD of 300, 118, 124, 702 Calculator

Given Input numbers are 300, 118, 124, 702

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 300, 118, 124, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 118, 124, 702 is 2.

Therefore, GCD of numbers 300, 118, 124, 702 is 2

Given Input Data is 300, 118, 124, 702

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 118 is 2 x 59

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 702 is 2 x 3 x 3 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(300, 118) = 17700

GCD(300, 118) = ( 300 x 118 ) / 17700

GCD(300, 118) = 35400 / 17700

GCD(300, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 124

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

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

GCD(2, 124) = 248 / 124

GCD(2, 124) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 300, 118, 124, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 384, 720, 547
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• GCD of 722, 116, 474, 120

1. What is the GCD of 300, 118, 124, 702?

GCD of 300, 118, 124, 702 is 2

2. Where do I get the detailed procedure to find GCD of 300, 118, 124, 702?

You can find a detailed procedure to find GCD of 300, 118, 124, 702 on our page.

3. How to find GCD of 300, 118, 124, 702 on a calculator?

You can find the GCD of 300, 118, 124, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.